Solve 2(x+1)/3-3(3x-4)/8=13/6

$$\frac { 2 ( x + 1 ) } { 3 } - \frac { 3 ( 3 x - 4 ) } { 8 } = \frac { 13 } { 6 }$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 3,8,6.

$$8\times 2\left(x+1\right)-3\times 3\left(3x-4\right)=52$$

Multiply 8 and 2 to get 16.

$$16\left(x+1\right)-3\times 3\left(3x-4\right)=52$$

Use the distributive property to multiply 16 by x+1.

$$16x+16-3\times 3\left(3x-4\right)=52$$

Multiply -3 and 3 to get -9.

$$16x+16-9\left(3x-4\right)=52$$

Use the distributive property to multiply -9 by 3x-4.

$$16x+16-27x+36=52$$

Combine 16x and -27x to get -11x.

$$-11x+16+36=52$$

Add 16 and 36 to get 52.

$$-11x+52=52$$

Subtract 52 from both sides.

$$-11x=52-52$$

Subtract 52 from 52 to get 0.

$$-11x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -11 is not equal to 0, x must be equal to 0.

$$x=0$$