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

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

Simplifying
3(2x + 2) + 2(x + -7) = x + 3

Reorder the terms:
3(2 + 2x) + 2(x + -7) = x + 3
(2 * 3 + 2x * 3) + 2(x + -7) = x + 3
(6 + 6x) + 2(x + -7) = x + 3

Reorder the terms:
6 + 6x + 2(-7 + x) = x + 3
6 + 6x + (-7 * 2 + x * 2) = x + 3
6 + 6x + (-14 + 2x) = x + 3

Reorder the terms:
6 + -14 + 6x + 2x = x + 3

Combine like terms: 6 + -14 = -8
-8 + 6x + 2x = x + 3

Combine like terms: 6x + 2x = 8x
-8 + 8x = x + 3

Reorder the terms:
-8 + 8x = 3 + x

Solving
-8 + 8x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 8x + -1x = 3 + x + -1x

Combine like terms: 8x + -1x = 7x
-8 + 7x = 3 + x + -1x

Combine like terms: x + -1x = 0
-8 + 7x = 3 + 0
-8 + 7x = 3

Add '8' to each side of the equation.
-8 + 8 + 7x = 3 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = 3 + 8
7x = 3 + 8

Combine like terms: 3 + 8 = 11
7x = 11

Divide each side by '7'.
x = 1.571428571

Simplifying
x = 1.571428571