(-4x+7)=(-5x-8)

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Solution for (-4x+7)=(-5x-8) equation:


Simplifying
(-4x + 7) = (-5x + -8)

Reorder the terms:
(7 + -4x) = (-5x + -8)

Remove parenthesis around (7 + -4x)
7 + -4x = (-5x + -8)

Reorder the terms:
7 + -4x = (-8 + -5x)

Remove parenthesis around (-8 + -5x)
7 + -4x = -8 + -5x

Solving
7 + -4x = -8 + -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.
7 + -4x + 5x = -8 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
7 + 1x = -8 + 0
7 + 1x = -8

Add '-7' to each side of the equation.
7 + -7 + 1x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = -8 + -7
1x = -8 + -7

Combine like terms: -8 + -7 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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