Solve x+3/2+15x-3/3=x+4

$$\frac { x + 3 } { 2 } + \frac { 15 x - 3 } { 3 } = x + 4$$

Solve for x

$$x=\frac{7}{9}\approx 0.777777778$$

Steps for Solving Linear Equation

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

$$3\left(x+3\right)+2\left(15x-3\right)=6x+24$$

Use the distributive property to multiply 3 by x+3.

$$3x+9+2\left(15x-3\right)=6x+24$$

Use the distributive property to multiply 2 by 15x-3.

$$3x+9+30x-6=6x+24$$

Combine 3x and 30x to get 33x.

$$33x+9-6=6x+24$$

Subtract 6 from 9 to get 3.

$$33x+3=6x+24$$

Subtract 6x from both sides.

$$33x+3-6x=24$$

Combine 33x and -6x to get 27x.

$$27x+3=24$$

Subtract 3 from both sides.

$$27x=24-3$$

Subtract 3 from 24 to get 21.

$$27x=21$$

Divide both sides by 27.

$$x=\frac{21}{27}$$

Reduce the fraction \frac{21}{27} to lowest terms by extracting and canceling out 3.

$$x=\frac{7}{9}$$