Solve 2x-14/12=x+13/10

$$\frac { 2 x - 14 } { 12 } = \frac { x + 13 } { 10 }$$

Solve for x

$$x=37$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 12,10.

$$5\left(2x-14\right)=6\left(x+13\right)$$

Use the distributive property to multiply 5 by 2x-14.

$$10x-70=6\left(x+13\right)$$

Use the distributive property to multiply 6 by x+13.

$$10x-70=6x+78$$

Subtract 6x from both sides.

$$10x-70-6x=78$$

Combine 10x and -6x to get 4x.

$$4x-70=78$$

Add 70 to both sides.

$$4x=78+70$$

Add 78 and 70 to get 148.

$$4x=148$$

Divide both sides by 4.

$$x=\frac{148}{4}$$

Divide 148 by 4 to get 37.

$$x=37$$