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

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


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

Reorder the terms:
3(-4 + x) = 2x + -1(3x + -4)
(-4 * 3 + x * 3) = 2x + -1(3x + -4)
(-12 + 3x) = 2x + -1(3x + -4)

Reorder the terms:
-12 + 3x = 2x + -1(-4 + 3x)
-12 + 3x = 2x + (-4 * -1 + 3x * -1)
-12 + 3x = 2x + (4 + -3x)

Reorder the terms:
-12 + 3x = 4 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-12 + 3x = 4 + -1x

Solving
-12 + 3x = 4 + -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.
-12 + 3x + x = 4 + -1x + x

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

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

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

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

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

Divide each side by '4'.
x = 4

Simplifying
x = 4

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