Solve 7-9x/8-3/9=2x-7/5

$$\frac { 7 - 9 x } { 8 } - \frac { 3 } { 9 } = \frac { 2 x - 7 } { 5 }$$

Solve for x

$$x = \frac{233}{183} = 1\frac{50}{183} \approx 1.273224044$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 360, the least common multiple of 8,9,5.

$$45\left(7-9x\right)-40\times 3=72\left(2x-7\right)$$

Use the distributive property to multiply 45 by 7-9x.

$$315-405x-40\times 3=72\left(2x-7\right)$$

Multiply -40 and 3 to get -120.

$$315-405x-120=72\left(2x-7\right)$$

Subtract 120 from 315 to get 195.

$$195-405x=72\left(2x-7\right)$$

Use the distributive property to multiply 72 by 2x-7.

$$195-405x=144x-504$$

Subtract 144x from both sides.

$$195-405x-144x=-504$$

Combine -405x and -144x to get -549x.

$$195-549x=-504$$

Subtract 195 from both sides.

$$-549x=-504-195$$

Subtract 195 from -504 to get -699.

$$-549x=-699$$

Divide both sides by -549.

$$x=\frac{-699}{-549}$$

Reduce the fraction \frac{-699}{-549} to lowest terms by extracting and canceling out -3.

$$x=\frac{233}{183}$$