2(x-3)+2(2x-5)=32

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Solution for 2(x-3)+2(2x-5)=32 equation: 


Simplifying
2(x + -3) + 2(2x + -5) = 32

Reorder the terms:
2(-3 + x) + 2(2x + -5) = 32
(-3 * 2 + x * 2) + 2(2x + -5) = 32
(-6 + 2x) + 2(2x + -5) = 32

Reorder the terms:
-6 + 2x + 2(-5 + 2x) = 32
-6 + 2x + (-5 * 2 + 2x * 2) = 32
-6 + 2x + (-10 + 4x) = 32

Reorder the terms:
-6 + -10 + 2x + 4x = 32

Combine like terms: -6 + -10 = -16
-16 + 2x + 4x = 32

Combine like terms: 2x + 4x = 6x
-16 + 6x = 32

Solving
-16 + 6x = 32

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 6x = 32 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = 32 + 16
6x = 32 + 16

Combine like terms: 32 + 16 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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