Solve (x-11)*60=(23-x)*6+(38-x)*20

$$( x - 11 ) \times 60 = ( 23 - x ) \times 6 + ( 38 - x ) \times 20$$

Solve for x

$$x = \frac{779}{43} = 18\frac{5}{43} \approx 18.11627907$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-11 by 60.

$$60x-660=\left(23-x\right)\times 6+\left(38-x\right)\times 20$$

Use the distributive property to multiply 23-x by 6.

$$60x-660=138-6x+\left(38-x\right)\times 20$$

Use the distributive property to multiply 38-x by 20.

$$60x-660=138-6x+760-20x$$

Add 138 and 760 to get 898.

$$60x-660=898-6x-20x$$

Combine -6x and -20x to get -26x.

$$60x-660=898-26x$$

Add 26x to both sides.

$$60x-660+26x=898$$

Combine 60x and 26x to get 86x.

$$86x-660=898$$

Add 660 to both sides.

$$86x=898+660$$

Add 898 and 660 to get 1558.

$$86x=1558$$

Divide both sides by 86.

$$x=\frac{1558}{86}$$

Reduce the fraction \frac{1558}{86} to lowest terms by extracting and canceling out 2.

$$x=\frac{779}{43}$$