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

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


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

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

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

Reorder the terms:
4 + 2x = -3 + 1 + 3x

Combine like terms: -3 + 1 = -2
4 + 2x = -2 + 3x

Solving
4 + 2x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 2x + -3x = -2 + 3x + -3x

Combine like terms: 2x + -3x = -1x
4 + -1x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -1x = -2 + 0
4 + -1x = -2

Add '-4' to each side of the equation.
4 + -4 + -1x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -2 + -4
-1x = -2 + -4

Combine like terms: -2 + -4 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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