5(x+4)=-2(x-1)

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


Simplifying
5(x + 4) = -2(x + -1)

Reorder the terms:
5(4 + x) = -2(x + -1)
(4 * 5 + x * 5) = -2(x + -1)
(20 + 5x) = -2(x + -1)

Reorder the terms:
20 + 5x = -2(-1 + x)
20 + 5x = (-1 * -2 + x * -2)
20 + 5x = (2 + -2x)

Solving
20 + 5x = 2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
20 + 5x + 2x = 2 + -2x + 2x

Combine like terms: 5x + 2x = 7x
20 + 7x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
20 + 7x = 2 + 0
20 + 7x = 2

Add '-20' to each side of the equation.
20 + -20 + 7x = 2 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = 2 + -20
7x = 2 + -20

Combine like terms: 2 + -20 = -18
7x = -18

Divide each side by '7'.
x = -2.571428571

Simplifying
x = -2.571428571

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