Solve 4+6/8=6x+3/3

$$4 + \frac { 6 } { 8 } = \frac { 6 x + 3 } { 3 }$$

Solve for x

$$x = \frac{15}{8} = 1\frac{7}{8} = 1.875$$

Steps for Solving Linear Equation

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

$$96+3\times 6=8\left(6x+3\right)$$

Multiply 3 and 6 to get 18.

$$96+18=8\left(6x+3\right)$$

Add 96 and 18 to get 114.

$$114=8\left(6x+3\right)$$

Use the distributive property to multiply 8 by 6x+3.

$$114=48x+24$$

Swap sides so that all variable terms are on the left hand side.

$$48x+24=114$$

Subtract 24 from both sides.

$$48x=114-24$$

Subtract 24 from 114 to get 90.

$$48x=90$$

Divide both sides by 48.

$$x=\frac{90}{48}$$

Reduce the fraction \frac{90}{48} to lowest terms by extracting and canceling out 6.

$$x=\frac{15}{8}$$