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

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

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

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

Reorder the terms:
6 + 3x = 5(1 + 2x)
6 + 3x = (1 * 5 + 2x * 5)
6 + 3x = (5 + 10x)

Solving
6 + 3x = 5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 3x + -10x = 5 + 10x + -10x

Combine like terms: 3x + -10x = -7x
6 + -7x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -7x = 5 + 0
6 + -7x = 5

Add '-6' to each side of the equation.
6 + -6 + -7x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 5 + -6
-7x = 5 + -6

Combine like terms: 5 + -6 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429