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

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


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

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

Reorder the terms:
-5 + 4x = -2(4 + x)
-5 + 4x = (4 * -2 + x * -2)
-5 + 4x = (-8 + -2x)

Solving
-5 + 4x = -8 + -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.
-5 + 4x + 2x = -8 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-5 + 6x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 6x = -8 + 0
-5 + 6x = -8

Add '5' to each side of the equation.
-5 + 5 + 6x = -8 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = -8 + 5
6x = -8 + 5

Combine like terms: -8 + 5 = -3
6x = -3

Divide each side by '6'.
x = -0.5

Simplifying
x = -0.5

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