6x-3(8x+4)-11+2x=7(x-2)+3-11x

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Solution for 6x-3(8x+4)-11+2x=7(x-2)+3-11x equation:


Simplifying
6x + -3(8x + 4) + -11 + 2x = 7(x + -2) + 3 + -11x

Reorder the terms:
6x + -3(4 + 8x) + -11 + 2x = 7(x + -2) + 3 + -11x
6x + (4 * -3 + 8x * -3) + -11 + 2x = 7(x + -2) + 3 + -11x
6x + (-12 + -24x) + -11 + 2x = 7(x + -2) + 3 + -11x

Reorder the terms:
-12 + -11 + 6x + -24x + 2x = 7(x + -2) + 3 + -11x

Combine like terms: -12 + -11 = -23
-23 + 6x + -24x + 2x = 7(x + -2) + 3 + -11x

Combine like terms: 6x + -24x = -18x
-23 + -18x + 2x = 7(x + -2) + 3 + -11x

Combine like terms: -18x + 2x = -16x
-23 + -16x = 7(x + -2) + 3 + -11x

Reorder the terms:
-23 + -16x = 7(-2 + x) + 3 + -11x
-23 + -16x = (-2 * 7 + x * 7) + 3 + -11x
-23 + -16x = (-14 + 7x) + 3 + -11x

Reorder the terms:
-23 + -16x = -14 + 3 + 7x + -11x

Combine like terms: -14 + 3 = -11
-23 + -16x = -11 + 7x + -11x

Combine like terms: 7x + -11x = -4x
-23 + -16x = -11 + -4x

Solving
-23 + -16x = -11 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-23 + -16x + 4x = -11 + -4x + 4x

Combine like terms: -16x + 4x = -12x
-23 + -12x = -11 + -4x + 4x

Combine like terms: -4x + 4x = 0
-23 + -12x = -11 + 0
-23 + -12x = -11

Add '23' to each side of the equation.
-23 + 23 + -12x = -11 + 23

Combine like terms: -23 + 23 = 0
0 + -12x = -11 + 23
-12x = -11 + 23

Combine like terms: -11 + 23 = 12
-12x = 12

Divide each side by '-12'.
x = -1

Simplifying
x = -1

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