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

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


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

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

Reorder the terms:
8 + 2x + -5(-5 + x) = 32
8 + 2x + (-5 * -5 + x * -5) = 32
8 + 2x + (25 + -5x) = 32

Reorder the terms:
8 + 25 + 2x + -5x = 32

Combine like terms: 8 + 25 = 33
33 + 2x + -5x = 32

Combine like terms: 2x + -5x = -3x
33 + -3x = 32

Solving
33 + -3x = 32

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + -3x = 32 + -33

Combine like terms: 33 + -33 = 0
0 + -3x = 32 + -33
-3x = 32 + -33

Combine like terms: 32 + -33 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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