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

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


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

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

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

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

Combine like terms: 2 + 6 = 8
8 + 2x + -3x = 1

Combine like terms: 2x + -3x = -1x
8 + -1x = 1

Solving
8 + -1x = 1

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 1 + -8
-1x = 1 + -8

Combine like terms: 1 + -8 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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