Solve x-4/6+x-2/10=31/15?

$$\frac { x - 4 } { 6 } + \frac { x - 2 } { 10 } = \frac { 31 } { 15 } ?$$

Solve for x

$$x=11$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 6,10,15.

$$5\left(x-4\right)+3\left(x-2\right)=62$$

Use the distributive property to multiply 5 by x-4.

$$5x-20+3\left(x-2\right)=62$$

Use the distributive property to multiply 3 by x-2.

$$5x-20+3x-6=62$$

Combine 5x and 3x to get 8x.

$$8x-20-6=62$$

Subtract 6 from -20 to get -26.

$$8x-26=62$$

Add 26 to both sides.

$$8x=62+26$$

Add 62 and 26 to get 88.

$$8x=88$$

Divide both sides by 8.

$$x=\frac{88}{8}$$

Divide 88 by 8 to get 11.

$$x=11$$