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

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


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

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

Reorder the terms:
-8 + 3x + -4x = 3(2 + -1x)

Combine like terms: 3x + -4x = -1x
-8 + -1x = 3(2 + -1x)
-8 + -1x = (2 * 3 + -1x * 3)
-8 + -1x = (6 + -3x)

Solving
-8 + -1x = 6 + -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.
-8 + -1x + 3x = 6 + -3x + 3x

Combine like terms: -1x + 3x = 2x
-8 + 2x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 2x = 6 + 0
-8 + 2x = 6

Add '8' to each side of the equation.
-8 + 8 + 2x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 6 + 8
2x = 6 + 8

Combine like terms: 6 + 8 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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