2(x+4)-5(x-3)=32

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Solution for 2(x+4)-5(x-3)=32 equation:


Simplifying
2(x + 4) + -5(x + -3) = 32

Reorder the terms:
2(4 + x) + -5(x + -3) = 32
(4 * 2 + x * 2) + -5(x + -3) = 32
(8 + 2x) + -5(x + -3) = 32

Reorder the terms:
8 + 2x + -5(-3 + x) = 32
8 + 2x + (-3 * -5 + x * -5) = 32
8 + 2x + (15 + -5x) = 32

Reorder the terms:
8 + 15 + 2x + -5x = 32

Combine like terms: 8 + 15 = 23
23 + 2x + -5x = 32

Combine like terms: 2x + -5x = -3x
23 + -3x = 32

Solving
23 + -3x = 32

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + -3x = 32 + -23

Combine like terms: 23 + -23 = 0
0 + -3x = 32 + -23
-3x = 32 + -23

Combine like terms: 32 + -23 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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