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

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

Simplifying
2(3 + -5x) = 3(5x + 1)
(3 * 2 + -5x * 2) = 3(5x + 1)
(6 + -10x) = 3(5x + 1)

Reorder the terms:
6 + -10x = 3(1 + 5x)
6 + -10x = (1 * 3 + 5x * 3)
6 + -10x = (3 + 15x)

Solving
6 + -10x = 3 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + -10x + -15x = 3 + 15x + -15x

Combine like terms: -10x + -15x = -25x
6 + -25x = 3 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -25x = 3 + 0
6 + -25x = 3

Add '-6' to each side of the equation.
6 + -6 + -25x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -25x = 3 + -6
-25x = 3 + -6

Combine like terms: 3 + -6 = -3
-25x = -3

Divide each side by '-25'.
x = 0.12

Simplifying
x = 0.12