x+37=3x-x(41)

Solution for x+37=3x-x(41) equation:

Simplifying
x + 37 = 3x + -1x(41)

Reorder the terms:
37 + x = 3x + -1x(41)

Reorder the terms for easier multiplication:
37 + x = 3x + -1 * 41x

Multiply -1 * 41
37 + x = 3x + -41x

Combine like terms: 3x + -41x = -38x
37 + x = -38x

Solving
37 + x = -38x

Solving for variable 'x'.

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

Add '38x' to each side of the equation.
37 + x + 38x = -38x + 38x

Combine like terms: x + 38x = 39x
37 + 39x = -38x + 38x

Combine like terms: -38x + 38x = 0
37 + 39x = 0

Add '-37' to each side of the equation.
37 + -37 + 39x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 39x = 0 + -37
39x = 0 + -37

Combine like terms: 0 + -37 = -37
39x = -37

Divide each side by '39'.
x = -0.9487179487

Simplifying
x = -0.9487179487