2(x-6)+10(x+2)=32

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Solution for 2(x-6)+10(x+2)=32 equation: 


Simplifying
2(x + -6) + 10(x + 2) = 32

Reorder the terms:
2(-6 + x) + 10(x + 2) = 32
(-6 * 2 + x * 2) + 10(x + 2) = 32
(-12 + 2x) + 10(x + 2) = 32

Reorder the terms:
-12 + 2x + 10(2 + x) = 32
-12 + 2x + (2 * 10 + x * 10) = 32
-12 + 2x + (20 + 10x) = 32

Reorder the terms:
-12 + 20 + 2x + 10x = 32

Combine like terms: -12 + 20 = 8
8 + 2x + 10x = 32

Combine like terms: 2x + 10x = 12x
8 + 12x = 32

Solving
8 + 12x = 32

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 12x = 32 + -8

Combine like terms: 8 + -8 = 0
0 + 12x = 32 + -8
12x = 32 + -8

Combine like terms: 32 + -8 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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