41(x-10)=x-42

Solution for 41(x-10)=x-42 equation:

Simplifying
41(x + -10) = x + -42

Reorder the terms:
41(-10 + x) = x + -42
(-10 * 41 + x * 41) = x + -42
(-410 + 41x) = x + -42

Reorder the terms:
-410 + 41x = -42 + x

Solving
-410 + 41x = -42 + 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.
-410 + 41x + -1x = -42 + x + -1x

Combine like terms: 41x + -1x = 40x
-410 + 40x = -42 + x + -1x

Combine like terms: x + -1x = 0
-410 + 40x = -42 + 0
-410 + 40x = -42

Add '410' to each side of the equation.
-410 + 410 + 40x = -42 + 410

Combine like terms: -410 + 410 = 0
0 + 40x = -42 + 410
40x = -42 + 410

Combine like terms: -42 + 410 = 368
40x = 368

Divide each side by '40'.
x = 9.2

Simplifying
x = 9.2