-3(x+5)+6(2x-1)=7(x+3)-(2x+8)

Solution for -3(x+5)+6(2x-1)=7(x+3)-(2x+8) equation:

Simplifying
-3(x + 5) + 6(2x + -1) = 7(x + 3) + -1(2x + 8)

Reorder the terms:
-3(5 + x) + 6(2x + -1) = 7(x + 3) + -1(2x + 8)
(5 * -3 + x * -3) + 6(2x + -1) = 7(x + 3) + -1(2x + 8)
(-15 + -3x) + 6(2x + -1) = 7(x + 3) + -1(2x + 8)

Reorder the terms:
-15 + -3x + 6(-1 + 2x) = 7(x + 3) + -1(2x + 8)
-15 + -3x + (-1 * 6 + 2x * 6) = 7(x + 3) + -1(2x + 8)
-15 + -3x + (-6 + 12x) = 7(x + 3) + -1(2x + 8)

Reorder the terms:
-15 + -6 + -3x + 12x = 7(x + 3) + -1(2x + 8)

Combine like terms: -15 + -6 = -21
-21 + -3x + 12x = 7(x + 3) + -1(2x + 8)

Combine like terms: -3x + 12x = 9x
-21 + 9x = 7(x + 3) + -1(2x + 8)

Reorder the terms:
-21 + 9x = 7(3 + x) + -1(2x + 8)
-21 + 9x = (3 * 7 + x * 7) + -1(2x + 8)
-21 + 9x = (21 + 7x) + -1(2x + 8)

Reorder the terms:
-21 + 9x = 21 + 7x + -1(8 + 2x)
-21 + 9x = 21 + 7x + (8 * -1 + 2x * -1)
-21 + 9x = 21 + 7x + (-8 + -2x)

Reorder the terms:
-21 + 9x = 21 + -8 + 7x + -2x

Combine like terms: 21 + -8 = 13
-21 + 9x = 13 + 7x + -2x

Combine like terms: 7x + -2x = 5x
-21 + 9x = 13 + 5x

Solving
-21 + 9x = 13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-21 + 9x + -5x = 13 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-21 + 4x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-21 + 4x = 13 + 0
-21 + 4x = 13

Add '21' to each side of the equation.
-21 + 21 + 4x = 13 + 21

Combine like terms: -21 + 21 = 0
0 + 4x = 13 + 21
4x = 13 + 21

Combine like terms: 13 + 21 = 34
4x = 34

Divide each side by '4'.
x = 8.5

Simplifying
x = 8.5