12-3(x-2)=x+8

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Solution for 12-3(x-2)=x+8 equation:


Simplifying
12 + -3(x + -2) = x + 8

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

Combine like terms: 12 + 6 = 18
18 + -3x = x + 8

Reorder the terms:
18 + -3x = 8 + x

Solving
18 + -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.
18 + -3x + -1x = 8 + x + -1x

Combine like terms: -3x + -1x = -4x
18 + -4x = 8 + x + -1x

Combine like terms: x + -1x = 0
18 + -4x = 8 + 0
18 + -4x = 8

Add '-18' to each side of the equation.
18 + -18 + -4x = 8 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = 8 + -18
-4x = 8 + -18

Combine like terms: 8 + -18 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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