-2(x-5)+3x+1=22

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Solution for -2(x-5)+3x+1=22 equation: 


Simplifying
-2(x + -5) + 3x + 1 = 22

Reorder the terms:
-2(-5 + x) + 3x + 1 = 22
(-5 * -2 + x * -2) + 3x + 1 = 22
(10 + -2x) + 3x + 1 = 22

Reorder the terms:
10 + 1 + -2x + 3x = 22

Combine like terms: 10 + 1 = 11
11 + -2x + 3x = 22

Combine like terms: -2x + 3x = 1x
11 + 1x = 22

Solving
11 + 1x = 22

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 1x = 22 + -11

Combine like terms: 11 + -11 = 0
0 + 1x = 22 + -11
1x = 22 + -11

Combine like terms: 22 + -11 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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