2(2x+3)=13x-37

Solution for 2(2x+3)=13x-37 equation:

Simplifying
2(2x + 3) = 13x + -37

Reorder the terms:
2(3 + 2x) = 13x + -37
(3 * 2 + 2x * 2) = 13x + -37
(6 + 4x) = 13x + -37

Reorder the terms:
6 + 4x = -37 + 13x

Solving
6 + 4x = -37 + 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 + 4x + -13x = -37 + 13x + -13x

Combine like terms: 4x + -13x = -9x
6 + -9x = -37 + 13x + -13x

Combine like terms: 13x + -13x = 0
6 + -9x = -37 + 0
6 + -9x = -37

Add '-6' to each side of the equation.
6 + -6 + -9x = -37 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -37 + -6
-9x = -37 + -6

Combine like terms: -37 + -6 = -43
-9x = -43

Divide each side by '-9'.
x = 4.777777778

Simplifying
x = 4.777777778