3(x+2)-5=-2(x+1)

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Solution for 3(x+2)-5=-2(x+1) equation: 


Simplifying
3(x + 2) + -5 = -2(x + 1)

Reorder the terms:
3(2 + x) + -5 = -2(x + 1)
(2 * 3 + x * 3) + -5 = -2(x + 1)
(6 + 3x) + -5 = -2(x + 1)

Reorder the terms:
6 + -5 + 3x = -2(x + 1)

Combine like terms: 6 + -5 = 1
1 + 3x = -2(x + 1)

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

Solving
1 + 3x = -2 + -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.
1 + 3x + 2x = -2 + -2x + 2x

Combine like terms: 3x + 2x = 5x
1 + 5x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 5x = -2 + 0
1 + 5x = -2

Add '-1' to each side of the equation.
1 + -1 + 5x = -2 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = -2 + -1
5x = -2 + -1

Combine like terms: -2 + -1 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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