Solve 5*20+(x-5)*4=(5*20+44)*0.9

$$5 \times 20 + ( x - 5 ) \times 4 = ( 5 \times 20 + 44 ) \times 0.9$$

Solve for x

$$x=12.4$$

Steps for Solving Linear Equation

Multiply 5 and 20 to get 100.

$$100+\left(x-5\right)\times 4=\left(5\times 20+44\right)\times 0.9$$

Use the distributive property to multiply x-5 by 4.

$$100+4x-20=\left(5\times 20+44\right)\times 0.9$$

Subtract 20 from 100 to get 80.

$$80+4x=\left(5\times 20+44\right)\times 0.9$$

Multiply 5 and 20 to get 100.

$$80+4x=\left(100+44\right)\times 0.9$$

Add 100 and 44 to get 144.

$$80+4x=144\times 0.9$$

Multiply 144 and 0.9 to get 129.6.

$$80+4x=129.6$$

Subtract 80 from both sides.

$$4x=129.6-80$$

Subtract 80 from 129.6 to get 49.6.

$$4x=49.6$$

Divide both sides by 4.

$$x=\frac{49.6}{4}$$

Expand \frac{49.6}{4} by multiplying both numerator and the denominator by 10.

$$x=\frac{496}{40}$$

Reduce the fraction \frac{496}{40} to lowest terms by extracting and canceling out 8.

$$x=\frac{62}{5}$$