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

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


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

Reorder the terms:
5(2 + x) + 1 = 2(x + -1) + 2
(2 * 5 + x * 5) + 1 = 2(x + -1) + 2
(10 + 5x) + 1 = 2(x + -1) + 2

Reorder the terms:
10 + 1 + 5x = 2(x + -1) + 2

Combine like terms: 10 + 1 = 11
11 + 5x = 2(x + -1) + 2

Reorder the terms:
11 + 5x = 2(-1 + x) + 2
11 + 5x = (-1 * 2 + x * 2) + 2
11 + 5x = (-2 + 2x) + 2

Reorder the terms:
11 + 5x = -2 + 2 + 2x

Combine like terms: -2 + 2 = 0
11 + 5x = 0 + 2x
11 + 5x = 2x

Solving
11 + 5x = 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 + 5x + -2x = 2x + -2x

Combine like terms: 5x + -2x = 3x
11 + 3x = 2x + -2x

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

Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11

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

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

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667

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