3(x+3)+2(2x-4)=12(2x-7)

Solution for 3(x+3)+2(2x-4)=12(2x-7) equation:

Simplifying
3(x + 3) + 2(2x + -4) = 12(2x + -7)

Reorder the terms:
3(3 + x) + 2(2x + -4) = 12(2x + -7)
(3 * 3 + x * 3) + 2(2x + -4) = 12(2x + -7)
(9 + 3x) + 2(2x + -4) = 12(2x + -7)

Reorder the terms:
9 + 3x + 2(-4 + 2x) = 12(2x + -7)
9 + 3x + (-4 * 2 + 2x * 2) = 12(2x + -7)
9 + 3x + (-8 + 4x) = 12(2x + -7)

Reorder the terms:
9 + -8 + 3x + 4x = 12(2x + -7)

Combine like terms: 9 + -8 = 1
1 + 3x + 4x = 12(2x + -7)

Combine like terms: 3x + 4x = 7x
1 + 7x = 12(2x + -7)

Reorder the terms:
1 + 7x = 12(-7 + 2x)
1 + 7x = (-7 * 12 + 2x * 12)
1 + 7x = (-84 + 24x)

Solving
1 + 7x = -84 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
1 + 7x + -24x = -84 + 24x + -24x

Combine like terms: 7x + -24x = -17x
1 + -17x = -84 + 24x + -24x

Combine like terms: 24x + -24x = 0
1 + -17x = -84 + 0
1 + -17x = -84

Add '-1' to each side of the equation.
1 + -1 + -17x = -84 + -1

Combine like terms: 1 + -1 = 0
0 + -17x = -84 + -1
-17x = -84 + -1

Combine like terms: -84 + -1 = -85
-17x = -85

Divide each side by '-17'.
x = 5

Simplifying
x = 5