2(x-1)-9=-6(-4x+3)-8x

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Solution for 2(x-1)-9=-6(-4x+3)-8x equation:


Simplifying
2(x + -1) + -9 = -6(-4x + 3) + -8x

Reorder the terms:
2(-1 + x) + -9 = -6(-4x + 3) + -8x
(-1 * 2 + x * 2) + -9 = -6(-4x + 3) + -8x
(-2 + 2x) + -9 = -6(-4x + 3) + -8x

Reorder the terms:
-2 + -9 + 2x = -6(-4x + 3) + -8x

Combine like terms: -2 + -9 = -11
-11 + 2x = -6(-4x + 3) + -8x

Reorder the terms:
-11 + 2x = -6(3 + -4x) + -8x
-11 + 2x = (3 * -6 + -4x * -6) + -8x
-11 + 2x = (-18 + 24x) + -8x

Combine like terms: 24x + -8x = 16x
-11 + 2x = -18 + 16x

Solving
-11 + 2x = -18 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-11 + 2x + -16x = -18 + 16x + -16x

Combine like terms: 2x + -16x = -14x
-11 + -14x = -18 + 16x + -16x

Combine like terms: 16x + -16x = 0
-11 + -14x = -18 + 0
-11 + -14x = -18

Add '11' to each side of the equation.
-11 + 11 + -14x = -18 + 11

Combine like terms: -11 + 11 = 0
0 + -14x = -18 + 11
-14x = -18 + 11

Combine like terms: -18 + 11 = -7
-14x = -7

Divide each side by '-14'.
x = 0.5

Simplifying
x = 0.5

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