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

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


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

Reorder the terms:
4(-5 + 2x) = -5x + 32
(-5 * 4 + 2x * 4) = -5x + 32
(-20 + 8x) = -5x + 32

Reorder the terms:
-20 + 8x = 32 + -5x

Solving
-20 + 8x = 32 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-20 + 8x + 5x = 32 + -5x + 5x

Combine like terms: 8x + 5x = 13x
-20 + 13x = 32 + -5x + 5x

Combine like terms: -5x + 5x = 0
-20 + 13x = 32 + 0
-20 + 13x = 32

Add '20' to each side of the equation.
-20 + 20 + 13x = 32 + 20

Combine like terms: -20 + 20 = 0
0 + 13x = 32 + 20
13x = 32 + 20

Combine like terms: 32 + 20 = 52
13x = 52

Divide each side by '13'.
x = 4

Simplifying
x = 4

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