5x-7=13x-39

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Solution for 5x-7=13x-39 equation:


Simplifying
5x + -7 = 13x + -39

Reorder the terms:
-7 + 5x = 13x + -39

Reorder the terms:
-7 + 5x = -39 + 13x

Solving
-7 + 5x = -39 + 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.
-7 + 5x + -13x = -39 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-7 + -8x = -39 + 13x + -13x

Combine like terms: 13x + -13x = 0
-7 + -8x = -39 + 0
-7 + -8x = -39

Add '7' to each side of the equation.
-7 + 7 + -8x = -39 + 7

Combine like terms: -7 + 7 = 0
0 + -8x = -39 + 7
-8x = -39 + 7

Combine like terms: -39 + 7 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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