3(5x+2)=2(3-6)

Solution for 3(5x+2)=2(3-6) equation:

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

Reorder the terms:
3(2 + 5x) = 2(3 + -6)
(2 * 3 + 5x * 3) = 2(3 + -6)
(6 + 15x) = 2(3 + -6)

Combine like terms: 3 + -6 = -3
6 + 15x = 2(-3)

Multiply 2 * -3
6 + 15x = -6

Solving
6 + 15x = -6

Solving for variable 'x'.

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

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

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

Combine like terms: -6 + -6 = -12
15x = -12

Divide each side by '15'.
x = -0.8

Simplifying
x = -0.8