3(x+5)-(x-7)=4(3x+8)

Solution for 3(x+5)-(x-7)=4(3x+8) equation:

Simplifying
3(x + 5) + -1(x + -7) = 4(3x + 8)

Reorder the terms:
3(5 + x) + -1(x + -7) = 4(3x + 8)
(5 * 3 + x * 3) + -1(x + -7) = 4(3x + 8)
(15 + 3x) + -1(x + -7) = 4(3x + 8)

Reorder the terms:
15 + 3x + -1(-7 + x) = 4(3x + 8)
15 + 3x + (-7 * -1 + x * -1) = 4(3x + 8)
15 + 3x + (7 + -1x) = 4(3x + 8)

Reorder the terms:
15 + 7 + 3x + -1x = 4(3x + 8)

Combine like terms: 15 + 7 = 22
22 + 3x + -1x = 4(3x + 8)

Combine like terms: 3x + -1x = 2x
22 + 2x = 4(3x + 8)

Reorder the terms:
22 + 2x = 4(8 + 3x)
22 + 2x = (8 * 4 + 3x * 4)
22 + 2x = (32 + 12x)

Solving
22 + 2x = 32 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
22 + 2x + -12x = 32 + 12x + -12x

Combine like terms: 2x + -12x = -10x
22 + -10x = 32 + 12x + -12x

Combine like terms: 12x + -12x = 0
22 + -10x = 32 + 0
22 + -10x = 32

Add '-22' to each side of the equation.
22 + -22 + -10x = 32 + -22

Combine like terms: 22 + -22 = 0
0 + -10x = 32 + -22
-10x = 32 + -22

Combine like terms: 32 + -22 = 10
-10x = 10

Divide each side by '-10'.
x = -1

Simplifying
x = -1