-4(x+5)=5(2x-8)

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Solution for -4(x+5)=5(2x-8) equation:


Simplifying
-4(x + 5) = 5(2x + -8)

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

Reorder the terms:
-20 + -4x = 5(-8 + 2x)
-20 + -4x = (-8 * 5 + 2x * 5)
-20 + -4x = (-40 + 10x)

Solving
-20 + -4x = -40 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-20 + -4x + -10x = -40 + 10x + -10x

Combine like terms: -4x + -10x = -14x
-20 + -14x = -40 + 10x + -10x

Combine like terms: 10x + -10x = 0
-20 + -14x = -40 + 0
-20 + -14x = -40

Add '20' to each side of the equation.
-20 + 20 + -14x = -40 + 20

Combine like terms: -20 + 20 = 0
0 + -14x = -40 + 20
-14x = -40 + 20

Combine like terms: -40 + 20 = -20
-14x = -20

Divide each side by '-14'.
x = 1.428571429

Simplifying
x = 1.428571429

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