4(2-5x)=6-3(1-x)

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Solution for 4(2-5x)=6-3(1-x) equation:


Simplifying
4(2 + -5x) = 6 + -3(1 + -1x)
(2 * 4 + -5x * 4) = 6 + -3(1 + -1x)
(8 + -20x) = 6 + -3(1 + -1x)
8 + -20x = 6 + (1 * -3 + -1x * -3)
8 + -20x = 6 + (-3 + 3x)

Combine like terms: 6 + -3 = 3
8 + -20x = 3 + 3x

Solving
8 + -20x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + -20x + -3x = 3 + 3x + -3x

Combine like terms: -20x + -3x = -23x
8 + -23x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -23x = 3 + 0
8 + -23x = 3

Add '-8' to each side of the equation.
8 + -8 + -23x = 3 + -8

Combine like terms: 8 + -8 = 0
0 + -23x = 3 + -8
-23x = 3 + -8

Combine like terms: 3 + -8 = -5
-23x = -5

Divide each side by '-23'.
x = 0.2173913043

Simplifying
x = 0.2173913043

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