3(5x+2)=7(2x-6)

Solution for 3(5x+2)=7(2x-6) equation:

Simplifying
3(5x + 2) = 7(2x + -6)

Reorder the terms:
3(2 + 5x) = 7(2x + -6)
(2 * 3 + 5x * 3) = 7(2x + -6)
(6 + 15x) = 7(2x + -6)

Reorder the terms:
6 + 15x = 7(-6 + 2x)
6 + 15x = (-6 * 7 + 2x * 7)
6 + 15x = (-42 + 14x)

Solving
6 + 15x = -42 + 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 + 15x + -14x = -42 + 14x + -14x

Combine like terms: 15x + -14x = 1x
6 + 1x = -42 + 14x + -14x

Combine like terms: 14x + -14x = 0
6 + 1x = -42 + 0
6 + 1x = -42

Add '-6' to each side of the equation.
6 + -6 + 1x = -42 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -42 + -6
1x = -42 + -6

Combine like terms: -42 + -6 = -48
1x = -48

Divide each side by '1'.
x = -48

Simplifying
x = -48