3(x+5)-2(3+x)-5x=13+4(x-1)

Solution for 3(x+5)-2(3+x)-5x=13+4(x-1) equation:

Simplifying
3(x + 5) + -2(3 + x) + -5x = 13 + 4(x + -1)

Reorder the terms:
3(5 + x) + -2(3 + x) + -5x = 13 + 4(x + -1)
(5 * 3 + x * 3) + -2(3 + x) + -5x = 13 + 4(x + -1)
(15 + 3x) + -2(3 + x) + -5x = 13 + 4(x + -1)
15 + 3x + (3 * -2 + x * -2) + -5x = 13 + 4(x + -1)
15 + 3x + (-6 + -2x) + -5x = 13 + 4(x + -1)

Reorder the terms:
15 + -6 + 3x + -2x + -5x = 13 + 4(x + -1)

Combine like terms: 15 + -6 = 9
9 + 3x + -2x + -5x = 13 + 4(x + -1)

Combine like terms: 3x + -2x = 1x
9 + 1x + -5x = 13 + 4(x + -1)

Combine like terms: 1x + -5x = -4x
9 + -4x = 13 + 4(x + -1)

Reorder the terms:
9 + -4x = 13 + 4(-1 + x)
9 + -4x = 13 + (-1 * 4 + x * 4)
9 + -4x = 13 + (-4 + 4x)

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 9 + -9 + 4x

Combine like terms: 9 + -9 = 0
0 + -4x = 9 + -9 + 4x
-4x = 9 + -9 + 4x

Combine like terms: 9 + -9 = 0
-4x = 0 + 4x
-4x = 4x

Solving
-4x = 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.
-4x + -4x = 4x + -4x

Combine like terms: -4x + -4x = -8x
-8x = 4x + -4x

Combine like terms: 4x + -4x = 0
-8x = 0

Divide each side by '-8'.
x = 0

Simplifying
x = 0