6(x+1)=8x+10

Solution for 6(x+1)=8x+10 equation:

Simplifying
6(x + 1) = 8x + 10

Reorder the terms:
6(1 + x) = 8x + 10
(1 * 6 + x * 6) = 8x + 10
(6 + 6x) = 8x + 10

Reorder the terms:
6 + 6x = 10 + 8x

Solving
6 + 6x = 10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 6x + -8x = 10 + 8x + -8x

Combine like terms: 6x + -8x = -2x
6 + -2x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -2x = 10 + 0
6 + -2x = 10

Add '-6' to each side of the equation.
6 + -6 + -2x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 10 + -6
-2x = 10 + -6

Combine like terms: 10 + -6 = 4
-2x = 4

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

Simplifying
x = -2