4(x-3)-2(x-3)=8

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Solution for 4(x-3)-2(x-3)=8 equation: 


Simplifying
4(x + -3) + -2(x + -3) = 8

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

Reorder the terms:
-12 + 4x + -2(-3 + x) = 8
-12 + 4x + (-3 * -2 + x * -2) = 8
-12 + 4x + (6 + -2x) = 8

Reorder the terms:
-12 + 6 + 4x + -2x = 8

Combine like terms: -12 + 6 = -6
-6 + 4x + -2x = 8

Combine like terms: 4x + -2x = 2x
-6 + 2x = 8

Solving
-6 + 2x = 8

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x = 7

Simplifying
x = 7

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