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

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


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

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

Combine like terms: 6 + 4 = 10
10 + -2x + x = 3(x + -4)

Combine like terms: -2x + x = -1x
10 + -1x = 3(x + -4)

Reorder the terms:
10 + -1x = 3(-4 + x)
10 + -1x = (-4 * 3 + x * 3)
10 + -1x = (-12 + 3x)

Solving
10 + -1x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -1x + -3x = -12 + 3x + -3x

Combine like terms: -1x + -3x = -4x
10 + -4x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -4x = -12 + 0
10 + -4x = -12

Add '-10' to each side of the equation.
10 + -10 + -4x = -12 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -12 + -10
-4x = -12 + -10

Combine like terms: -12 + -10 = -22
-4x = -22

Divide each side by '-4'.
x = 5.5

Simplifying
x = 5.5

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