6(x-3)-11x+10=2(x-1)+8

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Solution for 6(x-3)-11x+10=2(x-1)+8 equation:


Simplifying
6(x + -3) + -11x + 10 = 2(x + -1) + 8

Reorder the terms:
6(-3 + x) + -11x + 10 = 2(x + -1) + 8
(-3 * 6 + x * 6) + -11x + 10 = 2(x + -1) + 8
(-18 + 6x) + -11x + 10 = 2(x + -1) + 8

Reorder the terms:
-18 + 10 + 6x + -11x = 2(x + -1) + 8

Combine like terms: -18 + 10 = -8
-8 + 6x + -11x = 2(x + -1) + 8

Combine like terms: 6x + -11x = -5x
-8 + -5x = 2(x + -1) + 8

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

Reorder the terms:
-8 + -5x = -2 + 8 + 2x

Combine like terms: -2 + 8 = 6
-8 + -5x = 6 + 2x

Solving
-8 + -5x = 6 + 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.
-8 + -5x + -2x = 6 + 2x + -2x

Combine like terms: -5x + -2x = -7x
-8 + -7x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + -7x = 6 + 0
-8 + -7x = 6

Add '8' to each side of the equation.
-8 + 8 + -7x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 6 + 8
-7x = 6 + 8

Combine like terms: 6 + 8 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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