5(1-2x)=2(4-x)

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Solution for 5(1-2x)=2(4-x) equation:


Simplifying
5(1 + -2x) = 2(4 + -1x)
(1 * 5 + -2x * 5) = 2(4 + -1x)
(5 + -10x) = 2(4 + -1x)
5 + -10x = (4 * 2 + -1x * 2)
5 + -10x = (8 + -2x)

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

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

Combine like terms: -2x + 2x = 0
5 + -8x = 8 + 0
5 + -8x = 8

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

Combine like terms: 5 + -5 = 0
0 + -8x = 8 + -5
-8x = 8 + -5

Combine like terms: 8 + -5 = 3
-8x = 3

Divide each side by '-8'.
x = -0.375

Simplifying
x = -0.375

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