2(5x+3)=12(x+1)-26

Solution for 2(5x+3)=12(x+1)-26 equation:

Simplifying
2(5x + 3) = 12(x + 1) + -26

Reorder the terms:
2(3 + 5x) = 12(x + 1) + -26
(3 * 2 + 5x * 2) = 12(x + 1) + -26
(6 + 10x) = 12(x + 1) + -26

Reorder the terms:
6 + 10x = 12(1 + x) + -26
6 + 10x = (1 * 12 + x * 12) + -26
6 + 10x = (12 + 12x) + -26

Reorder the terms:
6 + 10x = 12 + -26 + 12x

Combine like terms: 12 + -26 = -14
6 + 10x = -14 + 12x

Solving
6 + 10x = -14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + 10x + -12x = -14 + 12x + -12x

Combine like terms: 10x + -12x = -2x
6 + -2x = -14 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -2x = -14 + 0
6 + -2x = -14

Add '-6' to each side of the equation.
6 + -6 + -2x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -14 + -6
-2x = -14 + -6

Combine like terms: -14 + -6 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10