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

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


Simplifying
6x + -4(2x + -4) = 7 + -1(-3 + x)

Reorder the terms:
6x + -4(-4 + 2x) = 7 + -1(-3 + x)
6x + (-4 * -4 + 2x * -4) = 7 + -1(-3 + x)
6x + (16 + -8x) = 7 + -1(-3 + x)

Reorder the terms:
16 + 6x + -8x = 7 + -1(-3 + x)

Combine like terms: 6x + -8x = -2x
16 + -2x = 7 + -1(-3 + x)
16 + -2x = 7 + (-3 * -1 + x * -1)
16 + -2x = 7 + (3 + -1x)

Combine like terms: 7 + 3 = 10
16 + -2x = 10 + -1x

Solving
16 + -2x = 10 + -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 + -2x + x = 10 + -1x + x

Combine like terms: -2x + x = -1x
16 + -1x = 10 + -1x + x

Combine like terms: -1x + x = 0
16 + -1x = 10 + 0
16 + -1x = 10

Add '-16' to each side of the equation.
16 + -16 + -1x = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 10 + -16
-1x = 10 + -16

Combine like terms: 10 + -16 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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