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

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


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

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

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

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

Combine like terms: 3x + -2x = 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 '-1x' to each side of the equation.
-12 + 3x + -1x = -4 + 1x + -1x

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

Combine like terms: 1x + -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 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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