0.17(x-12)+0.5(x+2)=x+3

Solution for 0.17(x-12)+0.5(x+2)=x+3 equation:

Simplifying
0.17(x + -12) + 0.5(x + 2) = x + 3

Reorder the terms:
0.17(-12 + x) + 0.5(x + 2) = x + 3
(-12 * 0.17 + x * 0.17) + 0.5(x + 2) = x + 3
(-2.04 + 0.17x) + 0.5(x + 2) = x + 3

Reorder the terms:
-2.04 + 0.17x + 0.5(2 + x) = x + 3
-2.04 + 0.17x + (2 * 0.5 + x * 0.5) = x + 3
-2.04 + 0.17x + (1 + 0.5x) = x + 3

Reorder the terms:
-2.04 + 1 + 0.17x + 0.5x = x + 3

Combine like terms: -2.04 + 1 = -1.04
-1.04 + 0.17x + 0.5x = x + 3

Combine like terms: 0.17x + 0.5x = 0.67x
-1.04 + 0.67x = x + 3

Reorder the terms:
-1.04 + 0.67x = 3 + x

Solving
-1.04 + 0.67x = 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.
-1.04 + 0.67x + -1x = 3 + x + -1x

Combine like terms: 0.67x + -1x = -0.33x
-1.04 + -0.33x = 3 + x + -1x

Combine like terms: x + -1x = 0
-1.04 + -0.33x = 3 + 0
-1.04 + -0.33x = 3

Add '1.04' to each side of the equation.
-1.04 + 1.04 + -0.33x = 3 + 1.04

Combine like terms: -1.04 + 1.04 = 0.00
0.00 + -0.33x = 3 + 1.04
-0.33x = 3 + 1.04

Combine like terms: 3 + 1.04 = 4.04
-0.33x = 4.04

Divide each side by '-0.33'.
x = -12.24242424

Simplifying
x = -12.24242424