Solve 5x-6/7-3x-12/74=3/7

$$\frac { 5 x - 6 } { 7 } - \frac { 3 x - 12 } { 74 } = \frac { 3 } { 7 }$$

Solve for x

$$x = \frac{582}{349} = 1\frac{233}{349} \approx 1.667621777$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 518, the least common multiple of 7,74.

$$74\left(5x-6\right)-7\left(3x-12\right)=222$$

Use the distributive property to multiply 74 by 5x-6.

$$370x-444-7\left(3x-12\right)=222$$

Use the distributive property to multiply -7 by 3x-12.

$$370x-444-21x+84=222$$

Combine 370x and -21x to get 349x.

$$349x-444+84=222$$

Add -444 and 84 to get -360.

$$349x-360=222$$

Add 360 to both sides.

$$349x=222+360$$

Add 222 and 360 to get 582.

$$349x=582$$

Divide both sides by 349.

$$x=\frac{582}{349}$$