Solve 1.2*900(60-x)=(80+.5*4200)x-15

$$1.2 \times 900(60-x)=(80+.5 \times 4200)x-15$$

Solve for x

$$x = \frac{12963}{652} = 19\frac{575}{652} \approx 19.88190184$$

Steps for Solving Linear Equation

Multiply 1.2 and 900 to get 1080.

$$1080\left(60-x\right)=\left(80+0.5\times 4200\right)x-15$$

Use the distributive property to multiply 1080 by 60-x.

$$64800-1080x=\left(80+0.5\times 4200\right)x-15$$

Multiply 0.5 and 4200 to get 2100.

$$64800-1080x=\left(80+2100\right)x-15$$

Add 80 and 2100 to get 2180.

$$64800-1080x=2180x-15$$

Subtract 2180x from both sides.

$$64800-1080x-2180x=-15$$

Combine -1080x and -2180x to get -3260x.

$$64800-3260x=-15$$

Subtract 64800 from both sides.

$$-3260x=-15-64800$$

Subtract 64800 from -15 to get -64815.

$$-3260x=-64815$$

Divide both sides by -3260.

$$x=\frac{-64815}{-3260}$$

Reduce the fraction \frac{-64815}{-3260} to lowest terms by extracting and canceling out -5.

$$x=\frac{12963}{652}$$