6(2x+1)=13x+10

Solution for 6(2x+1)=13x+10 equation:

Simplifying
6(2x + 1) = 13x + 10

Reorder the terms:
6(1 + 2x) = 13x + 10
(1 * 6 + 2x * 6) = 13x + 10
(6 + 12x) = 13x + 10

Reorder the terms:
6 + 12x = 10 + 13x

Solving
6 + 12x = 10 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
6 + 12x + -13x = 10 + 13x + -13x

Combine like terms: 12x + -13x = -1x
6 + -1x = 10 + 13x + -13x

Combine like terms: 13x + -13x = 0
6 + -1x = 10 + 0
6 + -1x = 10

Add '-6' to each side of the equation.
6 + -6 + -1x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 10 + -6
-1x = 10 + -6

Combine like terms: 10 + -6 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4