3x-14+2(1x+-9)=2x-2

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Solution for 3x-14+2(1x+-9)=2x-2 equation:


Simplifying
3x + -14 + 2(1x + -9) = 2x + -2

Reorder the terms:
3x + -14 + 2(-9 + 1x) = 2x + -2
3x + -14 + (-9 * 2 + 1x * 2) = 2x + -2
3x + -14 + (-18 + 2x) = 2x + -2

Reorder the terms:
-14 + -18 + 3x + 2x = 2x + -2

Combine like terms: -14 + -18 = -32
-32 + 3x + 2x = 2x + -2

Combine like terms: 3x + 2x = 5x
-32 + 5x = 2x + -2

Reorder the terms:
-32 + 5x = -2 + 2x

Solving
-32 + 5x = -2 + 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.
-32 + 5x + -2x = -2 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-32 + 3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-32 + 3x = -2 + 0
-32 + 3x = -2

Add '32' to each side of the equation.
-32 + 32 + 3x = -2 + 32

Combine like terms: -32 + 32 = 0
0 + 3x = -2 + 32
3x = -2 + 32

Combine like terms: -2 + 32 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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