2(x+3)+4(x-2)=-32

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Solution for 2(x+3)+4(x-2)=-32 equation: 


Simplifying
2(x + 3) + 4(x + -2) = -32

Reorder the terms:
2(3 + x) + 4(x + -2) = -32
(3 * 2 + x * 2) + 4(x + -2) = -32
(6 + 2x) + 4(x + -2) = -32

Reorder the terms:
6 + 2x + 4(-2 + x) = -32
6 + 2x + (-2 * 4 + x * 4) = -32
6 + 2x + (-8 + 4x) = -32

Reorder the terms:
6 + -8 + 2x + 4x = -32

Combine like terms: 6 + -8 = -2
-2 + 2x + 4x = -32

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

Solving
-2 + 6x = -32

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 6x = -32 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = -32 + 2
6x = -32 + 2

Combine like terms: -32 + 2 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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