13(x+1)-4(x-2)=4(x-3)+4(x-1)

Solution for 13(x+1)-4(x-2)=4(x-3)+4(x-1) equation:

Simplifying
13(x + 1) + -4(x + -2) = 4(x + -3) + 4(x + -1)

Reorder the terms:
13(1 + x) + -4(x + -2) = 4(x + -3) + 4(x + -1)
(1 * 13 + x * 13) + -4(x + -2) = 4(x + -3) + 4(x + -1)
(13 + 13x) + -4(x + -2) = 4(x + -3) + 4(x + -1)

Reorder the terms:
13 + 13x + -4(-2 + x) = 4(x + -3) + 4(x + -1)
13 + 13x + (-2 * -4 + x * -4) = 4(x + -3) + 4(x + -1)
13 + 13x + (8 + -4x) = 4(x + -3) + 4(x + -1)

Reorder the terms:
13 + 8 + 13x + -4x = 4(x + -3) + 4(x + -1)

Combine like terms: 13 + 8 = 21
21 + 13x + -4x = 4(x + -3) + 4(x + -1)

Combine like terms: 13x + -4x = 9x
21 + 9x = 4(x + -3) + 4(x + -1)

Reorder the terms:
21 + 9x = 4(-3 + x) + 4(x + -1)
21 + 9x = (-3 * 4 + x * 4) + 4(x + -1)
21 + 9x = (-12 + 4x) + 4(x + -1)

Reorder the terms:
21 + 9x = -12 + 4x + 4(-1 + x)
21 + 9x = -12 + 4x + (-1 * 4 + x * 4)
21 + 9x = -12 + 4x + (-4 + 4x)

Reorder the terms:
21 + 9x = -12 + -4 + 4x + 4x

Combine like terms: -12 + -4 = -16
21 + 9x = -16 + 4x + 4x

Combine like terms: 4x + 4x = 8x
21 + 9x = -16 + 8x

Solving
21 + 9x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
21 + 9x + -8x = -16 + 8x + -8x

Combine like terms: 9x + -8x = 1x
21 + 1x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + 1x = -16 + 0
21 + 1x = -16

Add '-21' to each side of the equation.
21 + -21 + 1x = -16 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = -16 + -21
1x = -16 + -21

Combine like terms: -16 + -21 = -37
1x = -37

Divide each side by '1'.
x = -37

Simplifying
x = -37