Solve 7x+3.5*(10-x)=53

$$7x+3.5 \times (10-x)=53$$

Solve for x

$$x = \frac{36}{7} = 5\frac{1}{7} \approx 5.142857143$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3.5 by 10-x.

$$7x+35-3.5x=53$$

Combine 7x and -3.5x to get 3.5x.

$$3.5x+35=53$$

Subtract 35 from both sides.

$$3.5x=53-35$$

Subtract 35 from 53 to get 18.

$$3.5x=18$$

Divide both sides by 3.5.

$$x=\frac{18}{3.5}$$

Expand \frac{18}{3.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{180}{35}$$

Reduce the fraction \frac{180}{35} to lowest terms by extracting and canceling out 5.

$$x=\frac{36}{7}$$