Solve 24/32x+3.75=32x/24+12.33

$$\frac { 24 } { 32 } x + 3.75 = \frac { 32 x } { 24 } + 12.33$$

Solve for x

$$x = -\frac{2574}{175} = -14\frac{124}{175} \approx -14.708571429$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 96, the least common multiple of 32,24.

$$72x+360=4\times 32x+1183.68$$

Multiply 4 and 32 to get 128.

$$72x+360=128x+1183.68$$

Subtract 128x from both sides.

$$72x+360-128x=1183.68$$

Combine 72x and -128x to get -56x.

$$-56x+360=1183.68$$

Subtract 360 from both sides.

$$-56x=1183.68-360$$

Subtract 360 from 1183.68 to get 823.68.

$$-56x=823.68$$

Divide both sides by -56.

$$x=\frac{823.68}{-56}$$

Expand \frac{823.68}{-56} by multiplying both numerator and the denominator by 100.

$$x=\frac{82368}{-5600}$$

Reduce the fraction \frac{82368}{-5600} to lowest terms by extracting and canceling out 32.

$$x=-\frac{2574}{175}$$