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

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


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

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

Solving
10 + -5x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + -5x + -2x = -8 + 2x + -2x

Combine like terms: -5x + -2x = -7x
10 + -7x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -7x = -8 + 0
10 + -7x = -8

Add '-10' to each side of the equation.
10 + -10 + -7x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = -8 + -10
-7x = -8 + -10

Combine like terms: -8 + -10 = -18
-7x = -18

Divide each side by '-7'.
x = 2.571428571

Simplifying
x = 2.571428571

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