-3(x-4)+10=5x-8+2x

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Solution for -3(x-4)+10=5x-8+2x equation:


Simplifying
-3(x + -4) + 10 = 5x + -8 + 2x

Reorder the terms:
-3(-4 + x) + 10 = 5x + -8 + 2x
(-4 * -3 + x * -3) + 10 = 5x + -8 + 2x
(12 + -3x) + 10 = 5x + -8 + 2x

Reorder the terms:
12 + 10 + -3x = 5x + -8 + 2x

Combine like terms: 12 + 10 = 22
22 + -3x = 5x + -8 + 2x

Reorder the terms:
22 + -3x = -8 + 5x + 2x

Combine like terms: 5x + 2x = 7x
22 + -3x = -8 + 7x

Solving
22 + -3x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
22 + -3x + -7x = -8 + 7x + -7x

Combine like terms: -3x + -7x = -10x
22 + -10x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
22 + -10x = -8 + 0
22 + -10x = -8

Add '-22' to each side of the equation.
22 + -22 + -10x = -8 + -22

Combine like terms: 22 + -22 = 0
0 + -10x = -8 + -22
-10x = -8 + -22

Combine like terms: -8 + -22 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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