3(x-1)+5(x+1)=18

Solution for 3(x-1)+5(x+1)=18 equation:

Simplifying
3(x + -1) + 5(x + 1) = 18

Reorder the terms:
3(-1 + x) + 5(x + 1) = 18
(-1 * 3 + x * 3) + 5(x + 1) = 18
(-3 + 3x) + 5(x + 1) = 18

Reorder the terms:
-3 + 3x + 5(1 + x) = 18
-3 + 3x + (1 * 5 + x * 5) = 18
-3 + 3x + (5 + 5x) = 18

Reorder the terms:
-3 + 5 + 3x + 5x = 18

Combine like terms: -3 + 5 = 2
2 + 3x + 5x = 18

Combine like terms: 3x + 5x = 8x
2 + 8x = 18

Solving
2 + 8x = 18

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 8x = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 18 + -2
8x = 18 + -2

Combine like terms: 18 + -2 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2