7x+6(2-x)+3=4+3(6+x)

Solution for 7x+6(2-x)+3=4+3(6+x) equation:

Simplifying
7x + 6(2 + -1x) + 3 = 4 + 3(6 + x)
7x + (2 * 6 + -1x * 6) + 3 = 4 + 3(6 + x)
7x + (12 + -6x) + 3 = 4 + 3(6 + x)

Reorder the terms:
12 + 3 + 7x + -6x = 4 + 3(6 + x)

Combine like terms: 12 + 3 = 15
15 + 7x + -6x = 4 + 3(6 + x)

Combine like terms: 7x + -6x = 1x
15 + 1x = 4 + 3(6 + x)
15 + 1x = 4 + (6 * 3 + x * 3)
15 + 1x = 4 + (18 + 3x)

Combine like terms: 4 + 18 = 22
15 + 1x = 22 + 3x

Solving
15 + 1x = 22 + 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.
15 + 1x + -3x = 22 + 3x + -3x

Combine like terms: 1x + -3x = -2x
15 + -2x = 22 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -2x = 22 + 0
15 + -2x = 22

Add '-15' to each side of the equation.
15 + -15 + -2x = 22 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 22 + -15
-2x = 22 + -15

Combine like terms: 22 + -15 = 7
-2x = 7

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

Simplifying
x = -3.5