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

Solution for 17(x-2)+3(x-1)=x equation:

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

Reorder the terms:
17(-2 + x) + 3(x + -1) = x
(-2 * 17 + x * 17) + 3(x + -1) = x
(-34 + 17x) + 3(x + -1) = x

Reorder the terms:
-34 + 17x + 3(-1 + x) = x
-34 + 17x + (-1 * 3 + x * 3) = x
-34 + 17x + (-3 + 3x) = x

Reorder the terms:
-34 + -3 + 17x + 3x = x

Combine like terms: -34 + -3 = -37
-37 + 17x + 3x = x

Combine like terms: 17x + 3x = 20x
-37 + 20x = x

Solving
-37 + 20x = 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.
-37 + 20x + -1x = x + -1x

Combine like terms: 20x + -1x = 19x
-37 + 19x = x + -1x

Combine like terms: x + -1x = 0
-37 + 19x = 0

Add '37' to each side of the equation.
-37 + 37 + 19x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 19x = 0 + 37
19x = 0 + 37

Combine like terms: 0 + 37 = 37
19x = 37

Divide each side by '19'.
x = 1.947368421

Simplifying
x = 1.947368421