Solve 12*900(60-x)=(80+5*4200)x-15

$$12 \times 900(60-x)=(80+5 \times 4200)x-15$$

Solve for x

$$x = \frac{129603}{6376} = 20\frac{2083}{6376} \approx 20.326693852$$

Steps for Solving Linear Equation

Multiply 12 and 900 to get 10800.

$$10800\left(60-x\right)=\left(80+5\times 4200\right)x-15$$

Use the distributive property to multiply 10800 by 60-x.

$$648000-10800x=\left(80+5\times 4200\right)x-15$$

Multiply 5 and 4200 to get 21000.

$$648000-10800x=\left(80+21000\right)x-15$$

Add 80 and 21000 to get 21080.

$$648000-10800x=21080x-15$$

Subtract 21080x from both sides.

$$648000-10800x-21080x=-15$$

Combine -10800x and -21080x to get -31880x.

$$648000-31880x=-15$$

Subtract 648000 from both sides.

$$-31880x=-15-648000$$

Subtract 648000 from -15 to get -648015.

$$-31880x=-648015$$

Divide both sides by -31880.

$$x=\frac{-648015}{-31880}$$

Reduce the fraction \frac{-648015}{-31880} to lowest terms by extracting and canceling out -5.

$$x=\frac{129603}{6376}$$