Solve 3(2x+1)/4-1=2(2x+1)/3

$$\frac { 3 ( 2 x + 1 ) } { 4 } - 1 = \frac { 2 ( 2 x + 1 ) } { 3 }$$

Solve for x

$$x = \frac{11}{2} = 5\frac{1}{2} = 5.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\times 3\left(2x+1\right)-12=4\times 2\left(2x+1\right)$$

Multiply 3 and 3 to get 9.

$$9\left(2x+1\right)-12=4\times 2\left(2x+1\right)$$

Use the distributive property to multiply 9 by 2x+1.

$$18x+9-12=4\times 2\left(2x+1\right)$$

Subtract 12 from 9 to get -3.

$$18x-3=4\times 2\left(2x+1\right)$$

Multiply 4 and 2 to get 8.

$$18x-3=8\left(2x+1\right)$$

Use the distributive property to multiply 8 by 2x+1.

$$18x-3=16x+8$$

Subtract 16x from both sides.

$$18x-3-16x=8$$

Combine 18x and -16x to get 2x.

$$2x-3=8$$

Add 3 to both sides.

$$2x=8+3$$

Add 8 and 3 to get 11.

$$2x=11$$

Divide both sides by 2.

$$x=\frac{11}{2}$$