3x+32+(-24x)=6+-36x-6+-16x

Solution for 3x+32+(-24x)=6+-36x-6+-16x equation:

Simplifying
3x + 32 + (-24x) = 6 + -36x + -6 + -16x

Reorder the terms:
32 + 3x + (-24x) = 6 + -36x + -6 + -16x

Combine like terms: 3x + (-24x) = -21x
32 + -21x = 6 + -36x + -6 + -16x

Reorder the terms:
32 + -21x = 6 + -6 + -36x + -16x

Combine like terms: 6 + -6 = 0
32 + -21x = 0 + -36x + -16x
32 + -21x = -36x + -16x

Combine like terms: -36x + -16x = -52x
32 + -21x = -52x

Solving
32 + -21x = -52x

Solving for variable 'x'.

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

Add '52x' to each side of the equation.
32 + -21x + 52x = -52x + 52x

Combine like terms: -21x + 52x = 31x
32 + 31x = -52x + 52x

Combine like terms: -52x + 52x = 0
32 + 31x = 0

Add '-32' to each side of the equation.
32 + -32 + 31x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 31x = 0 + -32
31x = 0 + -32

Combine like terms: 0 + -32 = -32
31x = -32

Divide each side by '31'.
x = -1.032258065

Simplifying
x = -1.032258065