Solve 3x/2+4(x-1)=7-x+1/3

$$\frac { 3 x } { 2 } + 4 ( x - 1 ) = 7 - \frac { x + 1 } { 3 }$$

Solve for x

$$x = \frac{64}{35} = 1\frac{29}{35} \approx 1.828571429$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\times 3x+24\left(x-1\right)=42-2\left(x+1\right)$$

Multiply 3 and 3 to get 9.

$$9x+24\left(x-1\right)=42-2\left(x+1\right)$$

Use the distributive property to multiply 24 by x-1.

$$9x+24x-24=42-2\left(x+1\right)$$

Combine 9x and 24x to get 33x.

$$33x-24=42-2\left(x+1\right)$$

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

$$33x-24=42-2x-2$$

Subtract 2 from 42 to get 40.

$$33x-24=40-2x$$

Add 2x to both sides.

$$33x-24+2x=40$$

Combine 33x and 2x to get 35x.

$$35x-24=40$$

Add 24 to both sides.

$$35x=40+24$$

Add 40 and 24 to get 64.

$$35x=64$$

Divide both sides by 35.

$$x=\frac{64}{35}$$