4(x-2)=12-3x

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Solution for 4(x-2)=12-3x equation:


Simplifying
4(x + -2) = 12 + -3x

Reorder the terms:
4(-2 + x) = 12 + -3x
(-2 * 4 + x * 4) = 12 + -3x
(-8 + 4x) = 12 + -3x

Solving
-8 + 4x = 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.
-8 + 4x + 3x = 12 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-8 + 7x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 7x = 12 + 0
-8 + 7x = 12

Add '8' to each side of the equation.
-8 + 8 + 7x = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = 12 + 8
7x = 12 + 8

Combine like terms: 12 + 8 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

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