10-3(x-2)=-4(3x-7)+11x

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Solution for 10-3(x-2)=-4(3x-7)+11x equation: 


Simplifying
10 + -3(x + -2) = -4(3x + -7) + 11x

Reorder the terms:
10 + -3(-2 + x) = -4(3x + -7) + 11x
10 + (-2 * -3 + x * -3) = -4(3x + -7) + 11x
10 + (6 + -3x) = -4(3x + -7) + 11x

Combine like terms: 10 + 6 = 16
16 + -3x = -4(3x + -7) + 11x

Reorder the terms:
16 + -3x = -4(-7 + 3x) + 11x
16 + -3x = (-7 * -4 + 3x * -4) + 11x
16 + -3x = (28 + -12x) + 11x

Combine like terms: -12x + 11x = -1x
16 + -3x = 28 + -1x

Solving
16 + -3x = 28 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
16 + -3x + x = 28 + -1x + x

Combine like terms: -3x + x = -2x
16 + -2x = 28 + -1x + x

Combine like terms: -1x + x = 0
16 + -2x = 28 + 0
16 + -2x = 28

Add '-16' to each side of the equation.
16 + -16 + -2x = 28 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 28 + -16
-2x = 28 + -16

Combine like terms: 28 + -16 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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