2x-5(-6x+4)=8(7+7x)-5x

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Solution for 2x-5(-6x+4)=8(7+7x)-5x equation:


Simplifying
2x + -5(-6x + 4) = 8(7 + 7x) + -5x

Reorder the terms:
2x + -5(4 + -6x) = 8(7 + 7x) + -5x
2x + (4 * -5 + -6x * -5) = 8(7 + 7x) + -5x
2x + (-20 + 30x) = 8(7 + 7x) + -5x

Reorder the terms:
-20 + 2x + 30x = 8(7 + 7x) + -5x

Combine like terms: 2x + 30x = 32x
-20 + 32x = 8(7 + 7x) + -5x
-20 + 32x = (7 * 8 + 7x * 8) + -5x
-20 + 32x = (56 + 56x) + -5x

Combine like terms: 56x + -5x = 51x
-20 + 32x = 56 + 51x

Solving
-20 + 32x = 56 + 51x

Solving for variable 'x'.

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

Add '-51x' to each side of the equation.
-20 + 32x + -51x = 56 + 51x + -51x

Combine like terms: 32x + -51x = -19x
-20 + -19x = 56 + 51x + -51x

Combine like terms: 51x + -51x = 0
-20 + -19x = 56 + 0
-20 + -19x = 56

Add '20' to each side of the equation.
-20 + 20 + -19x = 56 + 20

Combine like terms: -20 + 20 = 0
0 + -19x = 56 + 20
-19x = 56 + 20

Combine like terms: 56 + 20 = 76
-19x = 76

Divide each side by '-19'.
x = -4

Simplifying
x = -4

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