3(2-x)+2=7x-32

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Solution for 3(2-x)+2=7x-32 equation:


Simplifying
3(2 + -1x) + 2 = 7x + -32
(2 * 3 + -1x * 3) + 2 = 7x + -32
(6 + -3x) + 2 = 7x + -32

Reorder the terms:
6 + 2 + -3x = 7x + -32

Combine like terms: 6 + 2 = 8
8 + -3x = 7x + -32

Reorder the terms:
8 + -3x = -32 + 7x

Solving
8 + -3x = -32 + 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.
8 + -3x + -7x = -32 + 7x + -7x

Combine like terms: -3x + -7x = -10x
8 + -10x = -32 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -10x = -32 + 0
8 + -10x = -32

Add '-8' to each side of the equation.
8 + -8 + -10x = -32 + -8

Combine like terms: 8 + -8 = 0
0 + -10x = -32 + -8
-10x = -32 + -8

Combine like terms: -32 + -8 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4

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