56-(4x+5)=-(2x-7)+8

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Solution for 56-(4x+5)=-(2x-7)+8 equation:


Simplifying
56 + -1(4x + 5) = -1(2x + -7) + 8

Reorder the terms:
56 + -1(5 + 4x) = -1(2x + -7) + 8
56 + (5 * -1 + 4x * -1) = -1(2x + -7) + 8
56 + (-5 + -4x) = -1(2x + -7) + 8

Combine like terms: 56 + -5 = 51
51 + -4x = -1(2x + -7) + 8

Reorder the terms:
51 + -4x = -1(-7 + 2x) + 8
51 + -4x = (-7 * -1 + 2x * -1) + 8
51 + -4x = (7 + -2x) + 8

Reorder the terms:
51 + -4x = 7 + 8 + -2x

Combine like terms: 7 + 8 = 15
51 + -4x = 15 + -2x

Solving
51 + -4x = 15 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
51 + -4x + 2x = 15 + -2x + 2x

Combine like terms: -4x + 2x = -2x
51 + -2x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
51 + -2x = 15 + 0
51 + -2x = 15

Add '-51' to each side of the equation.
51 + -51 + -2x = 15 + -51

Combine like terms: 51 + -51 = 0
0 + -2x = 15 + -51
-2x = 15 + -51

Combine like terms: 15 + -51 = -36
-2x = -36

Divide each side by '-2'.
x = 18

Simplifying
x = 18

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