1+2(x+2)=-3x+9-2(8+x)

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Solution for 1+2(x+2)=-3x+9-2(8+x) equation:


Simplifying
1 + 2(x + 2) = -3x + 9 + -2(8 + x)

Reorder the terms:
1 + 2(2 + x) = -3x + 9 + -2(8 + x)
1 + (2 * 2 + x * 2) = -3x + 9 + -2(8 + x)
1 + (4 + 2x) = -3x + 9 + -2(8 + x)

Combine like terms: 1 + 4 = 5
5 + 2x = -3x + 9 + -2(8 + x)
5 + 2x = -3x + 9 + (8 * -2 + x * -2)
5 + 2x = -3x + 9 + (-16 + -2x)

Reorder the terms:
5 + 2x = 9 + -16 + -3x + -2x

Combine like terms: 9 + -16 = -7
5 + 2x = -7 + -3x + -2x

Combine like terms: -3x + -2x = -5x
5 + 2x = -7 + -5x

Solving
5 + 2x = -7 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
5 + 2x + 5x = -7 + -5x + 5x

Combine like terms: 2x + 5x = 7x
5 + 7x = -7 + -5x + 5x

Combine like terms: -5x + 5x = 0
5 + 7x = -7 + 0
5 + 7x = -7

Add '-5' to each side of the equation.
5 + -5 + 7x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = -7 + -5
7x = -7 + -5

Combine like terms: -7 + -5 = -12
7x = -12

Divide each side by '7'.
x = -1.714285714

Simplifying
x = -1.714285714

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