3(x+2)=4(x-6)+2(x+5)

Solution for 3(x+2)=4(x-6)+2(x+5) equation:

Simplifying
3(x + 2) = 4(x + -6) + 2(x + 5)

Reorder the terms:
3(2 + x) = 4(x + -6) + 2(x + 5)
(2 * 3 + x * 3) = 4(x + -6) + 2(x + 5)
(6 + 3x) = 4(x + -6) + 2(x + 5)

Reorder the terms:
6 + 3x = 4(-6 + x) + 2(x + 5)
6 + 3x = (-6 * 4 + x * 4) + 2(x + 5)
6 + 3x = (-24 + 4x) + 2(x + 5)

Reorder the terms:
6 + 3x = -24 + 4x + 2(5 + x)
6 + 3x = -24 + 4x + (5 * 2 + x * 2)
6 + 3x = -24 + 4x + (10 + 2x)

Reorder the terms:
6 + 3x = -24 + 10 + 4x + 2x

Combine like terms: -24 + 10 = -14
6 + 3x = -14 + 4x + 2x

Combine like terms: 4x + 2x = 6x
6 + 3x = -14 + 6x

Solving
6 + 3x = -14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 3x + -6x = -14 + 6x + -6x

Combine like terms: 3x + -6x = -3x
6 + -3x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -3x = -14 + 0
6 + -3x = -14

Add '-6' to each side of the equation.
6 + -6 + -3x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -14 + -6
-3x = -14 + -6

Combine like terms: -14 + -6 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667