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

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


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

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

Reorder the terms:
-6 + -4 + 3x = x + 8

Combine like terms: -6 + -4 = -10
-10 + 3x = x + 8

Reorder the terms:
-10 + 3x = 8 + x

Solving
-10 + 3x = 8 + x

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.
-10 + 3x + -1x = 8 + x + -1x

Combine like terms: 3x + -1x = 2x
-10 + 2x = 8 + x + -1x

Combine like terms: x + -1x = 0
-10 + 2x = 8 + 0
-10 + 2x = 8

Add '10' to each side of the equation.
-10 + 10 + 2x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 8 + 10
2x = 8 + 10

Combine like terms: 8 + 10 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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