1-8(x-5)=-7(5-6x)-12x

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Solution for 1-8(x-5)=-7(5-6x)-12x equation: 


Simplifying
1 + -8(x + -5) = -7(5 + -6x) + -12x

Reorder the terms:
1 + -8(-5 + x) = -7(5 + -6x) + -12x
1 + (-5 * -8 + x * -8) = -7(5 + -6x) + -12x
1 + (40 + -8x) = -7(5 + -6x) + -12x

Combine like terms: 1 + 40 = 41
41 + -8x = -7(5 + -6x) + -12x
41 + -8x = (5 * -7 + -6x * -7) + -12x
41 + -8x = (-35 + 42x) + -12x

Combine like terms: 42x + -12x = 30x
41 + -8x = -35 + 30x

Solving
41 + -8x = -35 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
41 + -8x + -30x = -35 + 30x + -30x

Combine like terms: -8x + -30x = -38x
41 + -38x = -35 + 30x + -30x

Combine like terms: 30x + -30x = 0
41 + -38x = -35 + 0
41 + -38x = -35

Add '-41' to each side of the equation.
41 + -41 + -38x = -35 + -41

Combine like terms: 41 + -41 = 0
0 + -38x = -35 + -41
-38x = -35 + -41

Combine like terms: -35 + -41 = -76
-38x = -76

Divide each side by '-38'.
x = 2

Simplifying
x = 2

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