3x-4(x-3)=(x-4)

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Solution for 3x-4(x-3)=(x-4) equation:


Simplifying
3x + -4(x + -3) = (x + -4)

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

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

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

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

Remove parenthesis around (-4 + x)
12 + -1x = -4 + x

Solving
12 + -1x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -1x + -1x = -4 + x + -1x

Combine like terms: -1x + -1x = -2x
12 + -2x = -4 + x + -1x

Combine like terms: x + -1x = 0
12 + -2x = -4 + 0
12 + -2x = -4

Add '-12' to each side of the equation.
12 + -12 + -2x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -4 + -12
-2x = -4 + -12

Combine like terms: -4 + -12 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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