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

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


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

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

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

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

Combine like terms: 2 + -21 = -19
-19 + 2x + -3x = 2

Combine like terms: 2x + -3x = -1x
-19 + -1x = 2

Solving
-19 + -1x = 2

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + -1x = 2 + 19

Combine like terms: -19 + 19 = 0
0 + -1x = 2 + 19
-1x = 2 + 19

Combine like terms: 2 + 19 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

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