5x-3=13x-43

Solution for 5x-3=13x-43 equation:

Simplifying
5x + -3 = 13x + -43

Reorder the terms:
-3 + 5x = 13x + -43

Reorder the terms:
-3 + 5x = -43 + 13x

Solving
-3 + 5x = -43 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-3 + 5x + -13x = -43 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-3 + -8x = -43 + 13x + -13x

Combine like terms: 13x + -13x = 0
-3 + -8x = -43 + 0
-3 + -8x = -43

Add '3' to each side of the equation.
-3 + 3 + -8x = -43 + 3

Combine like terms: -3 + 3 = 0
0 + -8x = -43 + 3
-8x = -43 + 3

Combine like terms: -43 + 3 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5