5(2x-4)+4x=40-x

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Solution for 5(2x-4)+4x=40-x equation:


Simplifying
5(2x + -4) + 4x = 40 + -1x

Reorder the terms:
5(-4 + 2x) + 4x = 40 + -1x
(-4 * 5 + 2x * 5) + 4x = 40 + -1x
(-20 + 10x) + 4x = 40 + -1x

Combine like terms: 10x + 4x = 14x
-20 + 14x = 40 + -1x

Solving
-20 + 14x = 40 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-20 + 14x + x = 40 + -1x + x

Combine like terms: 14x + x = 15x
-20 + 15x = 40 + -1x + x

Combine like terms: -1x + x = 0
-20 + 15x = 40 + 0
-20 + 15x = 40

Add '20' to each side of the equation.
-20 + 20 + 15x = 40 + 20

Combine like terms: -20 + 20 = 0
0 + 15x = 40 + 20
15x = 40 + 20

Combine like terms: 40 + 20 = 60
15x = 60

Divide each side by '15'.
x = 4

Simplifying
x = 4

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