2x-5(2x+8)=32

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Solution for 2x-5(2x+8)=32 equation:


Simplifying
2x + -5(2x + 8) = 32

Reorder the terms:
2x + -5(8 + 2x) = 32
2x + (8 * -5 + 2x * -5) = 32
2x + (-40 + -10x) = 32

Reorder the terms:
-40 + 2x + -10x = 32

Combine like terms: 2x + -10x = -8x
-40 + -8x = 32

Solving
-40 + -8x = 32

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + -8x = 32 + 40

Combine like terms: -40 + 40 = 0
0 + -8x = 32 + 40
-8x = 32 + 40

Combine like terms: 32 + 40 = 72
-8x = 72

Divide each side by '-8'.
x = -9

Simplifying
x = -9

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