5x-(x-8)=-7x-36

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Solution for 5x-(x-8)=-7x-36 equation:


Simplifying
5x + -1(x + -8) = -7x + -36

Reorder the terms:
5x + -1(-8 + x) = -7x + -36
5x + (-8 * -1 + x * -1) = -7x + -36
5x + (8 + -1x) = -7x + -36

Reorder the terms:
8 + 5x + -1x = -7x + -36

Combine like terms: 5x + -1x = 4x
8 + 4x = -7x + -36

Reorder the terms:
8 + 4x = -36 + -7x

Solving
8 + 4x = -36 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
8 + 4x + 7x = -36 + -7x + 7x

Combine like terms: 4x + 7x = 11x
8 + 11x = -36 + -7x + 7x

Combine like terms: -7x + 7x = 0
8 + 11x = -36 + 0
8 + 11x = -36

Add '-8' to each side of the equation.
8 + -8 + 11x = -36 + -8

Combine like terms: 8 + -8 = 0
0 + 11x = -36 + -8
11x = -36 + -8

Combine like terms: -36 + -8 = -44
11x = -44

Divide each side by '11'.
x = -4

Simplifying
x = -4

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