2(x+3)=5(2x+1)+4x

Solution for 2(x+3)=5(2x+1)+4x equation:

Simplifying
2(x + 3) = 5(2x + 1) + 4x

Reorder the terms:
2(3 + x) = 5(2x + 1) + 4x
(3 * 2 + x * 2) = 5(2x + 1) + 4x
(6 + 2x) = 5(2x + 1) + 4x

Reorder the terms:
6 + 2x = 5(1 + 2x) + 4x
6 + 2x = (1 * 5 + 2x * 5) + 4x
6 + 2x = (5 + 10x) + 4x

Combine like terms: 10x + 4x = 14x
6 + 2x = 5 + 14x

Solving
6 + 2x = 5 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
6 + 2x + -14x = 5 + 14x + -14x

Combine like terms: 2x + -14x = -12x
6 + -12x = 5 + 14x + -14x

Combine like terms: 14x + -14x = 0
6 + -12x = 5 + 0
6 + -12x = 5

Add '-6' to each side of the equation.
6 + -6 + -12x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -12x = 5 + -6
-12x = 5 + -6

Combine like terms: 5 + -6 = -1
-12x = -1

Divide each side by '-12'.
x = 0.08333333333

Simplifying
x = 0.08333333333