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

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

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

Reorder the terms:
8(2 + x) = 3(x + -5) + -7(x + 3)
(2 * 8 + x * 8) = 3(x + -5) + -7(x + 3)
(16 + 8x) = 3(x + -5) + -7(x + 3)

Reorder the terms:
16 + 8x = 3(-5 + x) + -7(x + 3)
16 + 8x = (-5 * 3 + x * 3) + -7(x + 3)
16 + 8x = (-15 + 3x) + -7(x + 3)

Reorder the terms:
16 + 8x = -15 + 3x + -7(3 + x)
16 + 8x = -15 + 3x + (3 * -7 + x * -7)
16 + 8x = -15 + 3x + (-21 + -7x)

Reorder the terms:
16 + 8x = -15 + -21 + 3x + -7x

Combine like terms: -15 + -21 = -36
16 + 8x = -36 + 3x + -7x

Combine like terms: 3x + -7x = -4x
16 + 8x = -36 + -4x

Solving
16 + 8x = -36 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
16 + 8x + 4x = -36 + -4x + 4x

Combine like terms: 8x + 4x = 12x
16 + 12x = -36 + -4x + 4x

Combine like terms: -4x + 4x = 0
16 + 12x = -36 + 0
16 + 12x = -36

Add '-16' to each side of the equation.
16 + -16 + 12x = -36 + -16

Combine like terms: 16 + -16 = 0
0 + 12x = -36 + -16
12x = -36 + -16

Combine like terms: -36 + -16 = -52
12x = -52

Divide each side by '12'.
x = -4.333333333

Simplifying
x = -4.333333333