2(x+3)+1(x-8)=x+3

Solution for 2(x+3)+1(x-8)=x+3 equation:

Simplifying
2(x + 3) + 1(x + -8) = x + 3

Reorder the terms:
2(3 + x) + 1(x + -8) = x + 3
(3 * 2 + x * 2) + 1(x + -8) = x + 3
(6 + 2x) + 1(x + -8) = x + 3

Reorder the terms:
6 + 2x + 1(-8 + x) = x + 3
6 + 2x + (-8 * 1 + x * 1) = x + 3
6 + 2x + (-8 + 1x) = x + 3

Reorder the terms:
6 + -8 + 2x + 1x = x + 3

Combine like terms: 6 + -8 = -2
-2 + 2x + 1x = x + 3

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

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

Solving
-2 + 3x = 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.
-2 + 3x + -1x = 3 + x + -1x

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

Combine like terms: x + -1x = 0
-2 + 2x = 3 + 0
-2 + 2x = 3

Add '2' to each side of the equation.
-2 + 2 + 2x = 3 + 2

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

Combine like terms: 3 + 2 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5