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

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


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

Combine like terms: 6 + -1 = 5
8 + -20x = 5 + 3x

Solving
8 + -20x = 5 + 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 = 5 + 3x + -3x

Combine like terms: -20x + -3x = -23x
8 + -23x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -23x = 5 + 0
8 + -23x = 5

Add '-8' to each side of the equation.
8 + -8 + -23x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -23x = 5 + -8
-23x = 5 + -8

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

Divide each side by '-23'.
x = 0.1304347826

Simplifying
x = 0.1304347826

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