5(-7x+3)=159-4(x+5)

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Solution for 5(-7x+3)=159-4(x+5) equation: 


Simplifying
5(-7x + 3) = 159 + -4(x + 5)

Reorder the terms:
5(3 + -7x) = 159 + -4(x + 5)
(3 * 5 + -7x * 5) = 159 + -4(x + 5)
(15 + -35x) = 159 + -4(x + 5)

Reorder the terms:
15 + -35x = 159 + -4(5 + x)
15 + -35x = 159 + (5 * -4 + x * -4)
15 + -35x = 159 + (-20 + -4x)

Combine like terms: 159 + -20 = 139
15 + -35x = 139 + -4x

Solving
15 + -35x = 139 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
15 + -35x + 4x = 139 + -4x + 4x

Combine like terms: -35x + 4x = -31x
15 + -31x = 139 + -4x + 4x

Combine like terms: -4x + 4x = 0
15 + -31x = 139 + 0
15 + -31x = 139

Add '-15' to each side of the equation.
15 + -15 + -31x = 139 + -15

Combine like terms: 15 + -15 = 0
0 + -31x = 139 + -15
-31x = 139 + -15

Combine like terms: 139 + -15 = 124
-31x = 124

Divide each side by '-31'.
x = -4

Simplifying
x = -4

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