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

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


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

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

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

Solving
-20 + -5x = 2 + -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.
-20 + -5x + 4x = 2 + -4x + 4x

Combine like terms: -5x + 4x = -1x
-20 + -1x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-20 + -1x = 2 + 0
-20 + -1x = 2

Add '20' to each side of the equation.
-20 + 20 + -1x = 2 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 2 + 20
-1x = 2 + 20

Combine like terms: 2 + 20 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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