53(x-1)=38x

Solution for 53(x-1)=38x equation:

Simplifying
53(x + -1) = 38x

Reorder the terms:
53(-1 + x) = 38x
(-1 * 53 + x * 53) = 38x
(-53 + 53x) = 38x

Solving
-53 + 53x = 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.
-53 + 53x + -38x = 38x + -38x

Combine like terms: 53x + -38x = 15x
-53 + 15x = 38x + -38x

Combine like terms: 38x + -38x = 0
-53 + 15x = 0

Add '53' to each side of the equation.
-53 + 53 + 15x = 0 + 53

Combine like terms: -53 + 53 = 0
0 + 15x = 0 + 53
15x = 0 + 53

Combine like terms: 0 + 53 = 53
15x = 53

Divide each side by '15'.
x = 3.533333333

Simplifying
x = 3.533333333