3(x-2)-(x-18)=10

Solution for 3(x-2)-(x-18)=10 equation:

Simplifying
3(x + -2) + -1(x + -18) = 10

Reorder the terms:
3(-2 + x) + -1(x + -18) = 10
(-2 * 3 + x * 3) + -1(x + -18) = 10
(-6 + 3x) + -1(x + -18) = 10

Reorder the terms:
-6 + 3x + -1(-18 + x) = 10
-6 + 3x + (-18 * -1 + x * -1) = 10
-6 + 3x + (18 + -1x) = 10

Reorder the terms:
-6 + 18 + 3x + -1x = 10

Combine like terms: -6 + 18 = 12
12 + 3x + -1x = 10

Combine like terms: 3x + -1x = 2x
12 + 2x = 10

Solving
12 + 2x = 10

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 2x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 10 + -12
2x = 10 + -12

Combine like terms: 10 + -12 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1