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

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


Simplifying
8 + -1(4x + -5) = x + -7

Reorder the terms:
8 + -1(-5 + 4x) = x + -7
8 + (-5 * -1 + 4x * -1) = x + -7
8 + (5 + -4x) = x + -7

Combine like terms: 8 + 5 = 13
13 + -4x = x + -7

Reorder the terms:
13 + -4x = -7 + x

Solving
13 + -4x = -7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
13 + -4x + -1x = -7 + x + -1x

Combine like terms: -4x + -1x = -5x
13 + -5x = -7 + x + -1x

Combine like terms: x + -1x = 0
13 + -5x = -7 + 0
13 + -5x = -7

Add '-13' to each side of the equation.
13 + -13 + -5x = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = -7 + -13
-5x = -7 + -13

Combine like terms: -7 + -13 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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