Solve 68(41.99-1-x)=36(42.5-x)

$$68 ( 41.99 - 1 - x ) = 36 ( 42.5 - x )$$

Solve for x

$$x=39.29125$$

Steps for Solving Linear Equation

Subtract 1 from 41.99 to get 40.99.

$$68\left(40.99-x\right)=36\left(42.5-x\right)$$

Use the distributive property to multiply 68 by 40.99-x.

$$2787.32-68x=36\left(42.5-x\right)$$

Use the distributive property to multiply 36 by 42.5-x.

$$2787.32-68x=1530-36x$$

Add 36x to both sides.

$$2787.32-68x+36x=1530$$

Combine -68x and 36x to get -32x.

$$2787.32-32x=1530$$

Subtract 2787.32 from both sides.

$$-32x=1530-2787.32$$

Subtract 2787.32 from 1530 to get -1257.32.

$$-32x=-1257.32$$

Divide both sides by -32.

$$x=\frac{-1257.32}{-32}$$

Expand \frac{-1257.32}{-32} by multiplying both numerator and the denominator by 100.

$$x=\frac{-125732}{-3200}$$

Reduce the fraction \frac{-125732}{-3200} to lowest terms by extracting and canceling out -4.

$$x=\frac{31433}{800}$$