2(3+5x)=(2x-3)

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

Simplifying
2(3 + 5x) = (2x + -3)
(3 * 2 + 5x * 2) = (2x + -3)
(6 + 10x) = (2x + -3)

Reorder the terms:
6 + 10x = (-3 + 2x)

Remove parenthesis around (-3 + 2x)
6 + 10x = -3 + 2x

Solving
6 + 10x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 10x + -2x = -3 + 2x + -2x

Combine like terms: 10x + -2x = 8x
6 + 8x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 8x = -3 + 0
6 + 8x = -3

Add '-6' to each side of the equation.
6 + -6 + 8x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -3 + -6
8x = -3 + -6

Combine like terms: -3 + -6 = -9
8x = -9

Divide each side by '8'.
x = -1.125

Simplifying
x = -1.125