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

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Solution for 12(x-3)+2=4(x+8)-2x equation:


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

Reorder the terms:
12(-3 + x) + 2 = 4(x + 8) + -2x
(-3 * 12 + x * 12) + 2 = 4(x + 8) + -2x
(-36 + 12x) + 2 = 4(x + 8) + -2x

Reorder the terms:
-36 + 2 + 12x = 4(x + 8) + -2x

Combine like terms: -36 + 2 = -34
-34 + 12x = 4(x + 8) + -2x

Reorder the terms:
-34 + 12x = 4(8 + x) + -2x
-34 + 12x = (8 * 4 + x * 4) + -2x
-34 + 12x = (32 + 4x) + -2x

Combine like terms: 4x + -2x = 2x
-34 + 12x = 32 + 2x

Solving
-34 + 12x = 32 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-34 + 12x + -2x = 32 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-34 + 10x = 32 + 2x + -2x

Combine like terms: 2x + -2x = 0
-34 + 10x = 32 + 0
-34 + 10x = 32

Add '34' to each side of the equation.
-34 + 34 + 10x = 32 + 34

Combine like terms: -34 + 34 = 0
0 + 10x = 32 + 34
10x = 32 + 34

Combine like terms: 32 + 34 = 66
10x = 66

Divide each side by '10'.
x = 6.6

Simplifying
x = 6.6

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