3(x-8)+2=18-x

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Solution for 3(x-8)+2=18-x equation:


Simplifying
3(x + -8) + 2 = 18 + -1x

Reorder the terms:
3(-8 + x) + 2 = 18 + -1x
(-8 * 3 + x * 3) + 2 = 18 + -1x
(-24 + 3x) + 2 = 18 + -1x

Reorder the terms:
-24 + 2 + 3x = 18 + -1x

Combine like terms: -24 + 2 = -22
-22 + 3x = 18 + -1x

Solving
-22 + 3x = 18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-22 + 3x + x = 18 + -1x + x

Combine like terms: 3x + x = 4x
-22 + 4x = 18 + -1x + x

Combine like terms: -1x + x = 0
-22 + 4x = 18 + 0
-22 + 4x = 18

Add '22' to each side of the equation.
-22 + 22 + 4x = 18 + 22

Combine like terms: -22 + 22 = 0
0 + 4x = 18 + 22
4x = 18 + 22

Combine like terms: 18 + 22 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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