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

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


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

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

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

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

Combine like terms: 2x + 4x = 6x
-1 + 6x = -4(x + 4)

Reorder the terms:
-1 + 6x = -4(4 + x)
-1 + 6x = (4 * -4 + x * -4)
-1 + 6x = (-16 + -4x)

Solving
-1 + 6x = -16 + -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.
-1 + 6x + 4x = -16 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-1 + 10x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0
-1 + 10x = -16 + 0
-1 + 10x = -16

Add '1' to each side of the equation.
-1 + 1 + 10x = -16 + 1

Combine like terms: -1 + 1 = 0
0 + 10x = -16 + 1
10x = -16 + 1

Combine like terms: -16 + 1 = -15
10x = -15

Divide each side by '10'.
x = -1.5

Simplifying
x = -1.5

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