I will give brainliest! Translate AND solve the following equation: 5 times the difference of 7 and x is the same as the product of negative 5 and that same number increased by 12. Give the value of x, or write all real numbers, or write no solution.

5(7-x)=-5(-5+12)          x=14

Step-by-step explanation:

You distribute the 5 on the left to everything in the parenthesis on the left. On the right you distribute the -5 to everything in the parenthesis on the right. Then you have to isolate the x, and you should end up with x= 14. When you check your answer by plugging in 14 for x, it works.

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d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.