Solve 1+5x/2-3=x+4/3

$$\frac { 1 + 5 x } { 2 } - 3 = \frac { x + 4 } { 3 }$$

Solve for x

$$x = \frac{23}{13} = 1\frac{10}{13} \approx 1.769230769$$

Steps for Solving Linear Equation

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

$$3\left(1+5x\right)-18=2\left(x+4\right)$$

Use the distributive property to multiply 3 by 1+5x.

$$3+15x-18=2\left(x+4\right)$$

Subtract 18 from 3 to get -15.

$$-15+15x=2\left(x+4\right)$$

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

$$-15+15x=2x+8$$

Subtract 2x from both sides.

$$-15+15x-2x=8$$

Combine 15x and -2x to get 13x.

$$-15+13x=8$$

Add 15 to both sides.

$$13x=8+15$$

Add 8 and 15 to get 23.

$$13x=23$$

Divide both sides by 13.

$$x=\frac{23}{13}$$