What is 4(5n-7)=10n+2? variables on both sides

Example:

About "Solving equations with variables on both sides"

Solving equations with variables on both sides :

To solve equations with variables on both sides, we have to bring the variables to the left side of equal sign and the numbers which or not having the variables, that is constants to the right side of equal sign.

Solving Equations with Variables on Both Sides - Steps

Step 1 :

Use the Distributive Property to remove the grouping symbols.

Step 2 :

Simplify the expressions on each side of the equals sign.

Step 3 :

Use the Addition and/or Subtraction Properties of Equality to get the variables on one side of the equals sign and the numbers without variables on the other side of the equals sign.

Step 4 :

Simplify the expressions on each side of the equals sign.

Step 5 :

Use the Multiplication or Division Property of Equality to solve.

If the solution results in a false statement, there is no solution of the equation.

If the solution results in an identity, the solution is all numbers.

Solving Equations with Variables on Both Sides -Examples

Example 1 :

Solve the following equation. Then check the solution.

5t - 9  =  -3t + 7

Solution :

5t - 9  =  -3t + 7

In order to get rid of -3t, we have to add 3t on both sides.

5t + 3t - 9  =  -3t + 3t + 7

8t - 9  =  7

In order to get rid of -9, add 9 on both sides

8t - 9 + 9  =  7 + 9

8t  =  16

Divide by 8 on both sides

8t/8  =  16/8

t  =  2

Hope this helps you understand better!

(It is not the answer but it is an example so hope this helps and please give me Brainliest)

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it