2(x-3)-(x+7)=18

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Solution for 2(x-3)-(x+7)=18 equation:


Simplifying
2(x + -3) + -1(x + 7) = 18

Reorder the terms:
2(-3 + x) + -1(x + 7) = 18
(-3 * 2 + x * 2) + -1(x + 7) = 18
(-6 + 2x) + -1(x + 7) = 18

Reorder the terms:
-6 + 2x + -1(7 + x) = 18
-6 + 2x + (7 * -1 + x * -1) = 18
-6 + 2x + (-7 + -1x) = 18

Reorder the terms:
-6 + -7 + 2x + -1x = 18

Combine like terms: -6 + -7 = -13
-13 + 2x + -1x = 18

Combine like terms: 2x + -1x = 1x
-13 + 1x = 18

Solving
-13 + 1x = 18

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 1x = 18 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = 18 + 13
1x = 18 + 13

Combine like terms: 18 + 13 = 31
1x = 31

Divide each side by '1'.
x = 31

Simplifying
x = 31

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