14+2(3x-1)=3(x-8)+66

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Solution for 14+2(3x-1)=3(x-8)+66 equation:


Simplifying
14 + 2(3x + -1) = 3(x + -8) + 66

Reorder the terms:
14 + 2(-1 + 3x) = 3(x + -8) + 66
14 + (-1 * 2 + 3x * 2) = 3(x + -8) + 66
14 + (-2 + 6x) = 3(x + -8) + 66

Combine like terms: 14 + -2 = 12
12 + 6x = 3(x + -8) + 66

Reorder the terms:
12 + 6x = 3(-8 + x) + 66
12 + 6x = (-8 * 3 + x * 3) + 66
12 + 6x = (-24 + 3x) + 66

Reorder the terms:
12 + 6x = -24 + 66 + 3x

Combine like terms: -24 + 66 = 42
12 + 6x = 42 + 3x

Solving
12 + 6x = 42 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 6x + -3x = 42 + 3x + -3x

Combine like terms: 6x + -3x = 3x
12 + 3x = 42 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 3x = 42 + 0
12 + 3x = 42

Add '-12' to each side of the equation.
12 + -12 + 3x = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 42 + -12
3x = 42 + -12

Combine like terms: 42 + -12 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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