7x+6(2-x)+31=32+3(6+x)

Solution for 7x+6(2-x)+31=32+3(6+x) equation:

Simplifying
7x + 6(2 + -1x) + 31 = 32 + 3(6 + x)
7x + (2 * 6 + -1x * 6) + 31 = 32 + 3(6 + x)
7x + (12 + -6x) + 31 = 32 + 3(6 + x)

Reorder the terms:
12 + 31 + 7x + -6x = 32 + 3(6 + x)

Combine like terms: 12 + 31 = 43
43 + 7x + -6x = 32 + 3(6 + x)

Combine like terms: 7x + -6x = 1x
43 + 1x = 32 + 3(6 + x)
43 + 1x = 32 + (6 * 3 + x * 3)
43 + 1x = 32 + (18 + 3x)

Combine like terms: 32 + 18 = 50
43 + 1x = 50 + 3x

Solving
43 + 1x = 50 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
43 + 1x + -3x = 50 + 3x + -3x

Combine like terms: 1x + -3x = -2x
43 + -2x = 50 + 3x + -3x

Combine like terms: 3x + -3x = 0
43 + -2x = 50 + 0
43 + -2x = 50

Add '-43' to each side of the equation.
43 + -43 + -2x = 50 + -43

Combine like terms: 43 + -43 = 0
0 + -2x = 50 + -43
-2x = 50 + -43

Combine like terms: 50 + -43 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5