3(5x-6)+6(x+4)=3(x+3)-(x+10)

Solution for 3(5x-6)+6(x+4)=3(x+3)-(x+10) equation:

Simplifying
3(5x + -6) + 6(x + 4) = 3(x + 3) + -1(x + 10)

Reorder the terms:
3(-6 + 5x) + 6(x + 4) = 3(x + 3) + -1(x + 10)
(-6 * 3 + 5x * 3) + 6(x + 4) = 3(x + 3) + -1(x + 10)
(-18 + 15x) + 6(x + 4) = 3(x + 3) + -1(x + 10)

Reorder the terms:
-18 + 15x + 6(4 + x) = 3(x + 3) + -1(x + 10)
-18 + 15x + (4 * 6 + x * 6) = 3(x + 3) + -1(x + 10)
-18 + 15x + (24 + 6x) = 3(x + 3) + -1(x + 10)

Reorder the terms:
-18 + 24 + 15x + 6x = 3(x + 3) + -1(x + 10)

Combine like terms: -18 + 24 = 6
6 + 15x + 6x = 3(x + 3) + -1(x + 10)

Combine like terms: 15x + 6x = 21x
6 + 21x = 3(x + 3) + -1(x + 10)

Reorder the terms:
6 + 21x = 3(3 + x) + -1(x + 10)
6 + 21x = (3 * 3 + x * 3) + -1(x + 10)
6 + 21x = (9 + 3x) + -1(x + 10)

Reorder the terms:
6 + 21x = 9 + 3x + -1(10 + x)
6 + 21x = 9 + 3x + (10 * -1 + x * -1)
6 + 21x = 9 + 3x + (-10 + -1x)

Reorder the terms:
6 + 21x = 9 + -10 + 3x + -1x

Combine like terms: 9 + -10 = -1
6 + 21x = -1 + 3x + -1x

Combine like terms: 3x + -1x = 2x
6 + 21x = -1 + 2x

Solving
6 + 21x = -1 + 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 + 21x + -2x = -1 + 2x + -2x

Combine like terms: 21x + -2x = 19x
6 + 19x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 19x = -1 + 0
6 + 19x = -1

Add '-6' to each side of the equation.
6 + -6 + 19x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 19x = -1 + -6
19x = -1 + -6

Combine like terms: -1 + -6 = -7
19x = -7

Divide each side by '19'.
x = -0.3684210526

Simplifying
x = -0.3684210526