4(-7x+5)3-x=-5(3-x)

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Solution for 4(-7x+5)3-x=-5(3-x) equation:


Simplifying
4(-7x + 5) * 3 + -1x = -5(3 + -1x)

Reorder the terms:
4(5 + -7x) * 3 + -1x = -5(3 + -1x)

Reorder the terms for easier multiplication:
4 * 3(5 + -7x) + -1x = -5(3 + -1x)

Multiply 4 * 3
12(5 + -7x) + -1x = -5(3 + -1x)
(5 * 12 + -7x * 12) + -1x = -5(3 + -1x)
(60 + -84x) + -1x = -5(3 + -1x)

Combine like terms: -84x + -1x = -85x
60 + -85x = -5(3 + -1x)
60 + -85x = (3 * -5 + -1x * -5)
60 + -85x = (-15 + 5x)

Solving
60 + -85x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
60 + -85x + -5x = -15 + 5x + -5x

Combine like terms: -85x + -5x = -90x
60 + -90x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
60 + -90x = -15 + 0
60 + -90x = -15

Add '-60' to each side of the equation.
60 + -60 + -90x = -15 + -60

Combine like terms: 60 + -60 = 0
0 + -90x = -15 + -60
-90x = -15 + -60

Combine like terms: -15 + -60 = -75
-90x = -75

Divide each side by '-90'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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