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 = 11
11 + 3x = 2(x + -1)

Reorder the terms:
11 + 3x = 2(-1 + x)
11 + 3x = (-1 * 2 + x * 2)
11 + 3x = (-2 + 2x)

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

Combine like terms: 3x + -2x = 1x
11 + 1x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + 1x = -2 + 0
11 + 1x = -2

Add '-11' to each side of the equation.
11 + -11 + 1x = -2 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = -2 + -11
1x = -2 + -11

Combine like terms: -2 + -11 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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