4(6-2x)=5(4-x)-2x

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Solution for 4(6-2x)=5(4-x)-2x equation:


Simplifying
4(6 + -2x) = 5(4 + -1x) + -2x
(6 * 4 + -2x * 4) = 5(4 + -1x) + -2x
(24 + -8x) = 5(4 + -1x) + -2x
24 + -8x = (4 * 5 + -1x * 5) + -2x
24 + -8x = (20 + -5x) + -2x

Combine like terms: -5x + -2x = -7x
24 + -8x = 20 + -7x

Solving
24 + -8x = 20 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
24 + -8x + 7x = 20 + -7x + 7x

Combine like terms: -8x + 7x = -1x
24 + -1x = 20 + -7x + 7x

Combine like terms: -7x + 7x = 0
24 + -1x = 20 + 0
24 + -1x = 20

Add '-24' to each side of the equation.
24 + -24 + -1x = 20 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 20 + -24
-1x = 20 + -24

Combine like terms: 20 + -24 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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