Solve 7x+8/8-9x-12/16=1

$$\frac{ 7x+8 }{ 8 } - \frac{ 9x-12 }{ 16 } =1$$

Solve for x

$$x = -\frac{12}{5} = -2\frac{2}{5} = -2.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 16, the least common multiple of 8,16.

$$2\left(7x+8\right)-\left(9x-12\right)=16$$

Use the distributive property to multiply 2 by 7x+8.

$$14x+16-\left(9x-12\right)=16$$

To find the opposite of 9x-12, find the opposite of each term.

$$14x+16-9x-\left(-12\right)=16$$

The opposite of -12 is 12.

$$14x+16-9x+12=16$$

Combine 14x and -9x to get 5x.

$$5x+16+12=16$$

Add 16 and 12 to get 28.

$$5x+28=16$$

Subtract 28 from both sides.

$$5x=16-28$$

Subtract 28 from 16 to get -12.

$$5x=-12$$

Divide both sides by 5.

$$x=\frac{-12}{5}$$

Fraction \frac{-12}{5} can be rewritten as -\frac{12}{5} by extracting the negative sign.

$$x=-\frac{12}{5}$$