5(x-4)+5x=10(2-x)

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Solution for 5(x-4)+5x=10(2-x) equation:


Simplifying
5(x + -4) + 5x = 10(2 + -1x)

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

Combine like terms: 5x + 5x = 10x
-20 + 10x = 10(2 + -1x)
-20 + 10x = (2 * 10 + -1x * 10)
-20 + 10x = (20 + -10x)

Solving
-20 + 10x = 20 + -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 + 10x + 10x = 20 + -10x + 10x

Combine like terms: 10x + 10x = 20x
-20 + 20x = 20 + -10x + 10x

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

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

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

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

Divide each side by '20'.
x = 2

Simplifying
x = 2

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