2(x-8)-(x+3)=22

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Solution for 2(x-8)-(x+3)=22 equation: 


Simplifying
2(x + -8) + -1(x + 3) = 22

Reorder the terms:
2(-8 + x) + -1(x + 3) = 22
(-8 * 2 + x * 2) + -1(x + 3) = 22
(-16 + 2x) + -1(x + 3) = 22

Reorder the terms:
-16 + 2x + -1(3 + x) = 22
-16 + 2x + (3 * -1 + x * -1) = 22
-16 + 2x + (-3 + -1x) = 22

Reorder the terms:
-16 + -3 + 2x + -1x = 22

Combine like terms: -16 + -3 = -19
-19 + 2x + -1x = 22

Combine like terms: 2x + -1x = 1x
-19 + 1x = 22

Solving
-19 + 1x = 22

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 = 22 + 19

Combine like terms: -19 + 19 = 0
0 + 1x = 22 + 19
1x = 22 + 19

Combine like terms: 22 + 19 = 41
1x = 41

Divide each side by '1'.
x = 41

Simplifying
x = 41

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