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

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


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

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

Reorder the terms:
3 + x + 3x = 2[x + -2(x + 2)] + -3

Combine like terms: x + 3x = 4x
3 + 4x = 2[x + -2(x + 2)] + -3

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

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

Combine like terms: x + -2x = -1x
3 + 4x = 2[-4 + -1x] + -3
3 + 4x = [-4 * 2 + -1x * 2] + -3
3 + 4x = [-8 + -2x] + -3

Reorder the terms:
3 + 4x = -8 + -3 + -2x

Combine like terms: -8 + -3 = -11
3 + 4x = -11 + -2x

Solving
3 + 4x = -11 + -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.
3 + 4x + 2x = -11 + -2x + 2x

Combine like terms: 4x + 2x = 6x
3 + 6x = -11 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 6x = -11 + 0
3 + 6x = -11

Add '-3' to each side of the equation.
3 + -3 + 6x = -11 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = -11 + -3
6x = -11 + -3

Combine like terms: -11 + -3 = -14
6x = -14

Divide each side by '6'.
x = -2.333333333

Simplifying
x = -2.333333333

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