Question

Worth 20 points, first answer gets brainliest!

Answer 1

Answer:

x= -7

Step-by-step explanation:

The two angles are congruent because they are vertical angles.

5x+130=8x+151

Now solve for x

x= -7

Answer 2

Answer:

x = -7

Step-by-step explanation:

Simplifying

5x + 130 = 8x + 151

Reorder the terms:

130 + 5x = 8x + 151

Reorder the terms:

130 + 5x = 151 + 8x

Solving

130 + 5x = 151 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.

130 + 5x + -8x = 151 + 8x + -8x

Combine like terms: 5x + -8x = -3x

130 + -3x = 151 + 8x + -8x

Combine like terms: 8x + -8x = 0

130 + -3x = 151 + 0

130 + -3x = 151

Add '-130' to each side of the equation.

130 + -130 + -3x = 151 + -130

Combine like terms: 130 + -130 = 0

0 + -3x = 151 + -130

-3x = 151 + -130

Combine like terms: 151 + -130 = 21

-3x = 21

Divide each side by '-3'.

x = -7

Simplifying