Aand b are supplementary angles. if a = 7x - 18 and b = 8x + 3, find x.

x=13

Step-by-step explanation:

Angle A and angle B are supplementary

Supplementary angles add to 180 degrees

<A + <B = 180

7x-18 + 8x+3 = 180

Combine like terms

15x -15 = 180

Add 15 to each side

15x-15 +15 = 180+15

15x = 195

Divide by 15

15x/15 =195/15

x =13

answer: options?

step-by-step explanation:

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'.