(9x-2)(3)=(5x+1)(10)

Solution for (9x-2)(3)=(5x+1)(10) equation:

Simplifying
(9x + -2)(3) = (5x + 1)(10)

Reorder the terms:
(-2 + 9x)(3) = (5x + 1)(10)

Reorder the terms for easier multiplication:
3(-2 + 9x) = (5x + 1)(10)
(-2 * 3 + 9x * 3) = (5x + 1)(10)
(-6 + 27x) = (5x + 1)(10)

Reorder the terms:
-6 + 27x = (1 + 5x)(10)

Reorder the terms for easier multiplication:
-6 + 27x = 10(1 + 5x)
-6 + 27x = (1 * 10 + 5x * 10)
-6 + 27x = (10 + 50x)

Solving
-6 + 27x = 10 + 50x

Solving for variable 'x'.

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

Add '-50x' to each side of the equation.
-6 + 27x + -50x = 10 + 50x + -50x

Combine like terms: 27x + -50x = -23x
-6 + -23x = 10 + 50x + -50x

Combine like terms: 50x + -50x = 0
-6 + -23x = 10 + 0
-6 + -23x = 10

Add '6' to each side of the equation.
-6 + 6 + -23x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -23x = 10 + 6
-23x = 10 + 6

Combine like terms: 10 + 6 = 16
-23x = 16

Divide each side by '-23'.
x = -0.6956521739

Simplifying
x = -0.6956521739