10-2(5(x-1)-4(x+2))=3(6x-3(x+7))

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Solution for 10-2(5(x-1)-4(x+2))=3(6x-3(x+7)) equation: 


Simplifying
10 + -2(5(x + -1) + -4(x + 2)) = 3(6x + -3(x + 7))

Reorder the terms:
10 + -2(5(-1 + x) + -4(x + 2)) = 3(6x + -3(x + 7))
10 + -2((-1 * 5 + x * 5) + -4(x + 2)) = 3(6x + -3(x + 7))
10 + -2((-5 + 5x) + -4(x + 2)) = 3(6x + -3(x + 7))

Reorder the terms:
10 + -2(-5 + 5x + -4(2 + x)) = 3(6x + -3(x + 7))
10 + -2(-5 + 5x + (2 * -4 + x * -4)) = 3(6x + -3(x + 7))
10 + -2(-5 + 5x + (-8 + -4x)) = 3(6x + -3(x + 7))

Reorder the terms:
10 + -2(-5 + -8 + 5x + -4x) = 3(6x + -3(x + 7))

Combine like terms: -5 + -8 = -13
10 + -2(-13 + 5x + -4x) = 3(6x + -3(x + 7))

Combine like terms: 5x + -4x = 1x
10 + -2(-13 + 1x) = 3(6x + -3(x + 7))
10 + (-13 * -2 + 1x * -2) = 3(6x + -3(x + 7))
10 + (26 + -2x) = 3(6x + -3(x + 7))

Combine like terms: 10 + 26 = 36
36 + -2x = 3(6x + -3(x + 7))

Reorder the terms:
36 + -2x = 3(6x + -3(7 + x))
36 + -2x = 3(6x + (7 * -3 + x * -3))
36 + -2x = 3(6x + (-21 + -3x))

Reorder the terms:
36 + -2x = 3(-21 + 6x + -3x)

Combine like terms: 6x + -3x = 3x
36 + -2x = 3(-21 + 3x)
36 + -2x = (-21 * 3 + 3x * 3)
36 + -2x = (-63 + 9x)

Solving
36 + -2x = -63 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
36 + -2x + -9x = -63 + 9x + -9x

Combine like terms: -2x + -9x = -11x
36 + -11x = -63 + 9x + -9x

Combine like terms: 9x + -9x = 0
36 + -11x = -63 + 0
36 + -11x = -63

Add '-36' to each side of the equation.
36 + -36 + -11x = -63 + -36

Combine like terms: 36 + -36 = 0
0 + -11x = -63 + -36
-11x = -63 + -36

Combine like terms: -63 + -36 = -99
-11x = -99

Divide each side by '-11'.
x = 9

Simplifying
x = 9

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