2(x-1)-9=6x-4(4-x)

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


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

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

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

Combine like terms: -2 + -9 = -11
-11 + 2x = 6x + -4(4 + -1x)
-11 + 2x = 6x + (4 * -4 + -1x * -4)
-11 + 2x = 6x + (-16 + 4x)

Reorder the terms:
-11 + 2x = -16 + 6x + 4x

Combine like terms: 6x + 4x = 10x
-11 + 2x = -16 + 10x

Solving
-11 + 2x = -16 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-11 + 2x + -10x = -16 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-11 + -8x = -16 + 10x + -10x

Combine like terms: 10x + -10x = 0
-11 + -8x = -16 + 0
-11 + -8x = -16

Add '11' to each side of the equation.
-11 + 11 + -8x = -16 + 11

Combine like terms: -11 + 11 = 0
0 + -8x = -16 + 11
-8x = -16 + 11

Combine like terms: -16 + 11 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625

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