-2(x+2)=3x-3+2(2x+1)

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Solution for -2(x+2)=3x-3+2(2x+1) equation:


Simplifying
-2(x + 2) = 3x + -3 + 2(2x + 1)

Reorder the terms:
-2(2 + x) = 3x + -3 + 2(2x + 1)
(2 * -2 + x * -2) = 3x + -3 + 2(2x + 1)
(-4 + -2x) = 3x + -3 + 2(2x + 1)

Reorder the terms:
-4 + -2x = 3x + -3 + 2(1 + 2x)
-4 + -2x = 3x + -3 + (1 * 2 + 2x * 2)
-4 + -2x = 3x + -3 + (2 + 4x)

Reorder the terms:
-4 + -2x = -3 + 2 + 3x + 4x

Combine like terms: -3 + 2 = -1
-4 + -2x = -1 + 3x + 4x

Combine like terms: 3x + 4x = 7x
-4 + -2x = -1 + 7x

Solving
-4 + -2x = -1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + -2x + -7x = -1 + 7x + -7x

Combine like terms: -2x + -7x = -9x
-4 + -9x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -9x = -1 + 0
-4 + -9x = -1

Add '4' to each side of the equation.
-4 + 4 + -9x = -1 + 4

Combine like terms: -4 + 4 = 0
0 + -9x = -1 + 4
-9x = -1 + 4

Combine like terms: -1 + 4 = 3
-9x = 3

Divide each side by '-9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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