Solve 240*x*3.62+256*1.50+1.5*50+100=1400

$$240 \times x \times 3.62+256 \times 1.50+1.5 \times 50+100=1400$$

Solve for x

$$x=\frac{4205}{4344}\approx 0.968001842$$

Steps for Solving Linear Equation

Multiply 240 and 3.62 to get 868.8.

$$868.8x+256\times 1.5+1.5\times 50+100=1400$$

Multiply 256 and 1.5 to get 384.

$$868.8x+384+1.5\times 50+100=1400$$

Multiply 1.5 and 50 to get 75.

$$868.8x+384+75+100=1400$$

Add 384 and 75 to get 459.

$$868.8x+459+100=1400$$

Add 459 and 100 to get 559.

$$868.8x+559=1400$$

Subtract 559 from both sides.

$$868.8x=1400-559$$

Subtract 559 from 1400 to get 841.

$$868.8x=841$$

Divide both sides by 868.8.

$$x=\frac{841}{868.8}$$

Expand \frac{841}{868.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{8410}{8688}$$

Reduce the fraction \frac{8410}{8688} to lowest terms by extracting and canceling out 2.

$$x=\frac{4205}{4344}$$