3x-8=6(1-2x)+16

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Solution for 3x-8=6(1-2x)+16 equation:


Simplifying
3x + -8 = 6(1 + -2x) + 16

Reorder the terms:
-8 + 3x = 6(1 + -2x) + 16
-8 + 3x = (1 * 6 + -2x * 6) + 16
-8 + 3x = (6 + -12x) + 16

Reorder the terms:
-8 + 3x = 6 + 16 + -12x

Combine like terms: 6 + 16 = 22
-8 + 3x = 22 + -12x

Solving
-8 + 3x = 22 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-8 + 3x + 12x = 22 + -12x + 12x

Combine like terms: 3x + 12x = 15x
-8 + 15x = 22 + -12x + 12x

Combine like terms: -12x + 12x = 0
-8 + 15x = 22 + 0
-8 + 15x = 22

Add '8' to each side of the equation.
-8 + 8 + 15x = 22 + 8

Combine like terms: -8 + 8 = 0
0 + 15x = 22 + 8
15x = 22 + 8

Combine like terms: 22 + 8 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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