-5(3x-4)=-(5-x)

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


Simplifying
-5(3x + -4) = -1(5 + -1x)

Reorder the terms:
-5(-4 + 3x) = -1(5 + -1x)
(-4 * -5 + 3x * -5) = -1(5 + -1x)
(20 + -15x) = -1(5 + -1x)
20 + -15x = (5 * -1 + -1x * -1)
20 + -15x = (-5 + 1x)

Solving
20 + -15x = -5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
20 + -15x + -1x = -5 + 1x + -1x

Combine like terms: -15x + -1x = -16x
20 + -16x = -5 + 1x + -1x

Combine like terms: 1x + -1x = 0
20 + -16x = -5 + 0
20 + -16x = -5

Add '-20' to each side of the equation.
20 + -20 + -16x = -5 + -20

Combine like terms: 20 + -20 = 0
0 + -16x = -5 + -20
-16x = -5 + -20

Combine like terms: -5 + -20 = -25
-16x = -25

Divide each side by '-16'.
x = 1.5625

Simplifying
x = 1.5625

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