Question

Geometry:
Solve for x.
1)

Answer 1

Simplifying
43x + 2 = 45x + -2

Reorder the terms:
2 + 43x = 45x + -2

Reorder the terms:
2 + 43x = -2 + 45x

Solving
2 + 43x = -2 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
2 + 43x + -45x = -2 + 45x + -45x

Combine like terms: 43x + -45x = -2x
2 + -2x = -2 + 45x + -45x

Combine like terms: 45x + -45x = 0
2 + -2x = -2 + 0
2 + -2x = -2

Add '-2' to each side of the equation.
2 + -2 + -2x = -2 + -2

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

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

Divide each side by '-2'.
x = 2

Simplifying
x = 2

Answer 2

Answer:

x = 2

Step-by-step explanation:

45x - 2 = 43x + 2 (alternate interior angles will be same)

45x - 43x = 2 +2

2x = 4

x = 4 ÷2

x = 2