3(x-16)-(x+10)=-22

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Solution for 3(x-16)-(x+10)=-22 equation: 


Simplifying
3(x + -16) + -1(x + 10) = -22

Reorder the terms:
3(-16 + x) + -1(x + 10) = -22
(-16 * 3 + x * 3) + -1(x + 10) = -22
(-48 + 3x) + -1(x + 10) = -22

Reorder the terms:
-48 + 3x + -1(10 + x) = -22
-48 + 3x + (10 * -1 + x * -1) = -22
-48 + 3x + (-10 + -1x) = -22

Reorder the terms:
-48 + -10 + 3x + -1x = -22

Combine like terms: -48 + -10 = -58
-58 + 3x + -1x = -22

Combine like terms: 3x + -1x = 2x
-58 + 2x = -22

Solving
-58 + 2x = -22

Solving for variable 'x'.

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

Add '58' to each side of the equation.
-58 + 58 + 2x = -22 + 58

Combine like terms: -58 + 58 = 0
0 + 2x = -22 + 58
2x = -22 + 58

Combine like terms: -22 + 58 = 36
2x = 36

Divide each side by '2'.
x = 18

Simplifying
x = 18

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