Solve 9x+1/12=5x-7/18

$$\frac { 9 x + 1 } { 12 } = \frac { 5 x - 7 } { 18 }$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 36, the least common multiple of 12,18.

$$3\left(9x+1\right)=2\left(5x-7\right)$$

Use the distributive property to multiply 3 by 9x+1.

$$27x+3=2\left(5x-7\right)$$

Use the distributive property to multiply 2 by 5x-7.

$$27x+3=10x-14$$

Subtract 10x from both sides.

$$27x+3-10x=-14$$

Combine 27x and -10x to get 17x.

$$17x+3=-14$$

Subtract 3 from both sides.

$$17x=-14-3$$

Subtract 3 from -14 to get -17.

$$17x=-17$$

Divide both sides by 17.

$$x=\frac{-17}{17}$$

Divide -17 by 17 to get -1.

$$x=-1$$