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

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


Simplifying
3(x + 2) + 5(2 + -1x) = -32

Reorder the terms:
3(2 + x) + 5(2 + -1x) = -32
(2 * 3 + x * 3) + 5(2 + -1x) = -32
(6 + 3x) + 5(2 + -1x) = -32
6 + 3x + (2 * 5 + -1x * 5) = -32
6 + 3x + (10 + -5x) = -32

Reorder the terms:
6 + 10 + 3x + -5x = -32

Combine like terms: 6 + 10 = 16
16 + 3x + -5x = -32

Combine like terms: 3x + -5x = -2x
16 + -2x = -32

Solving
16 + -2x = -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 + -2x = -32 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -32 + -16
-2x = -32 + -16

Combine like terms: -32 + -16 = -48
-2x = -48

Divide each side by '-2'.
x = 24

Simplifying
x = 24

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