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

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

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

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

Reorder the terms:
3 + 9x = 4(1 + 2x)
3 + 9x = (1 * 4 + 2x * 4)
3 + 9x = (4 + 8x)

Solving
3 + 9x = 4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 9x + -8x = 4 + 8x + -8x

Combine like terms: 9x + -8x = 1x
3 + 1x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + 1x = 4 + 0
3 + 1x = 4

Add '-3' to each side of the equation.
3 + -3 + 1x = 4 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 4 + -3
1x = 4 + -3

Combine like terms: 4 + -3 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1