3x+6=5(x-1)+10

Solution for 3x+6=5(x-1)+10 equation:

Simplifying
3x + 6 = 5(x + -1) + 10

Reorder the terms:
6 + 3x = 5(x + -1) + 10

Reorder the terms:
6 + 3x = 5(-1 + x) + 10
6 + 3x = (-1 * 5 + x * 5) + 10
6 + 3x = (-5 + 5x) + 10

Reorder the terms:
6 + 3x = -5 + 10 + 5x

Combine like terms: -5 + 10 = 5
6 + 3x = 5 + 5x

Solving
6 + 3x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 3x + -5x = 5 + 5x + -5x

Combine like terms: 3x + -5x = -2x
6 + -2x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -2x = 5 + 0
6 + -2x = 5

Add '-6' to each side of the equation.
6 + -6 + -2x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 5 + -6
-2x = 5 + -6

Combine like terms: 5 + -6 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5