2(x+1)-3(x-7)=1

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Solution for 2(x+1)-3(x-7)=1 equation: 


Simplifying
2(x + 1) + -3(x + -7) = 1

Reorder the terms:
2(1 + x) + -3(x + -7) = 1
(1 * 2 + x * 2) + -3(x + -7) = 1
(2 + 2x) + -3(x + -7) = 1

Reorder the terms:
2 + 2x + -3(-7 + x) = 1
2 + 2x + (-7 * -3 + x * -3) = 1
2 + 2x + (21 + -3x) = 1

Reorder the terms:
2 + 21 + 2x + -3x = 1

Combine like terms: 2 + 21 = 23
23 + 2x + -3x = 1

Combine like terms: 2x + -3x = -1x
23 + -1x = 1

Solving
23 + -1x = 1

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + -1x = 1 + -23

Combine like terms: 23 + -23 = 0
0 + -1x = 1 + -23
-1x = 1 + -23

Combine like terms: 1 + -23 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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