Solve 4x+3/9+13x/18=8x+19/18

$$\frac { 4 x + 3 } { 9 } + \frac { 13 x } { 18 } = \frac { 8 x + 19 } { 18 }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 9,18.

$$2\left(4x+3\right)+13x=8x+19$$

Use the distributive property to multiply 2 by 4x+3.

$$8x+6+13x=8x+19$$

Combine 8x and 13x to get 21x.

$$21x+6=8x+19$$

Subtract 8x from both sides.

$$21x+6-8x=19$$

Combine 21x and -8x to get 13x.

$$13x+6=19$$

Subtract 6 from both sides.

$$13x=19-6$$

Subtract 6 from 19 to get 13.

$$13x=13$$

Divide both sides by 13.

$$x=\frac{13}{13}$$

Divide 13 by 13 to get 1.

$$x=1$$