13x-(2x-4)=5x-38

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Solution for 13x-(2x-4)=5x-38 equation:


Simplifying
13x + -1(2x + -4) = 5x + -38

Reorder the terms:
13x + -1(-4 + 2x) = 5x + -38
13x + (-4 * -1 + 2x * -1) = 5x + -38
13x + (4 + -2x) = 5x + -38

Reorder the terms:
4 + 13x + -2x = 5x + -38

Combine like terms: 13x + -2x = 11x
4 + 11x = 5x + -38

Reorder the terms:
4 + 11x = -38 + 5x

Solving
4 + 11x = -38 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 11x + -5x = -38 + 5x + -5x

Combine like terms: 11x + -5x = 6x
4 + 6x = -38 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 6x = -38 + 0
4 + 6x = -38

Add '-4' to each side of the equation.
4 + -4 + 6x = -38 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = -38 + -4
6x = -38 + -4

Combine like terms: -38 + -4 = -42
6x = -42

Divide each side by '6'.
x = -7

Simplifying
x = -7

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