(72)(x+1)=90x

Solution for (72)(x+1)=90x equation:

Simplifying
(72)(x + 1) = 90x

Reorder the terms:
72(1 + x) = 90x
(1 * 72 + x * 72) = 90x
(72 + 72x) = 90x

Solving
72 + 72x = 90x

Solving for variable 'x'.

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

Add '-90x' to each side of the equation.
72 + 72x + -90x = 90x + -90x

Combine like terms: 72x + -90x = -18x
72 + -18x = 90x + -90x

Combine like terms: 90x + -90x = 0
72 + -18x = 0

Add '-72' to each side of the equation.
72 + -72 + -18x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -18x = 0 + -72
-18x = 0 + -72

Combine like terms: 0 + -72 = -72
-18x = -72

Divide each side by '-18'.
x = 4

Simplifying
x = 4