3(3x-2)=5(4x+1)

Solution for 3(3x-2)=5(4x+1) equation:

Simplifying
3(3x + -2) = 5(4x + 1)

Reorder the terms:
3(-2 + 3x) = 5(4x + 1)
(-2 * 3 + 3x * 3) = 5(4x + 1)
(-6 + 9x) = 5(4x + 1)

Reorder the terms:
-6 + 9x = 5(1 + 4x)
-6 + 9x = (1 * 5 + 4x * 5)
-6 + 9x = (5 + 20x)

Solving
-6 + 9x = 5 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-6 + 9x + -20x = 5 + 20x + -20x

Combine like terms: 9x + -20x = -11x
-6 + -11x = 5 + 20x + -20x

Combine like terms: 20x + -20x = 0
-6 + -11x = 5 + 0
-6 + -11x = 5

Add '6' to each side of the equation.
-6 + 6 + -11x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + -11x = 5 + 6
-11x = 5 + 6

Combine like terms: 5 + 6 = 11
-11x = 11

Divide each side by '-11'.
x = -1

Simplifying
x = -1