Solve 3x-4/5=12+2x/6

$$\frac { 3 x - 4 } { 5 } = \frac { 12 + 2 x } { 6 }$$

Solve for x

$$x = \frac{21}{2} = 10\frac{1}{2} = 10.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,6.

$$6\left(3x-4\right)=5\left(12+2x\right)$$

Use the distributive property to multiply 6 by 3x-4.

$$18x-24=5\left(12+2x\right)$$

Use the distributive property to multiply 5 by 12+2x.

$$18x-24=60+10x$$

Subtract 10x from both sides.

$$18x-24-10x=60$$

Combine 18x and -10x to get 8x.

$$8x-24=60$$

Add 24 to both sides.

$$8x=60+24$$

Add 60 and 24 to get 84.

$$8x=84$$

Divide both sides by 8.

$$x=\frac{84}{8}$$

Reduce the fraction \frac{84}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{21}{2}$$