-3(8x-2)+7x=-2(x+6)

Solution for -3(8x-2)+7x=-2(x+6) equation:

Simplifying
-3(8x + -2) + 7x = -2(x + 6)

Reorder the terms:
-3(-2 + 8x) + 7x = -2(x + 6)
(-2 * -3 + 8x * -3) + 7x = -2(x + 6)
(6 + -24x) + 7x = -2(x + 6)

Combine like terms: -24x + 7x = -17x
6 + -17x = -2(x + 6)

Reorder the terms:
6 + -17x = -2(6 + x)
6 + -17x = (6 * -2 + x * -2)
6 + -17x = (-12 + -2x)

Solving
6 + -17x = -12 + -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 + -17x + 2x = -12 + -2x + 2x

Combine like terms: -17x + 2x = -15x
6 + -15x = -12 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + -15x = -12 + 0
6 + -15x = -12

Add '-6' to each side of the equation.
6 + -6 + -15x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -15x = -12 + -6
-15x = -12 + -6

Combine like terms: -12 + -6 = -18
-15x = -18

Divide each side by '-15'.
x = 1.2

Simplifying
x = 1.2