Solve 7(3-x)=2(5-x)

$$7 ( 3 - x ) = 2 ( 5 - x )$$

Solve for x

$$x = \frac{11}{5} = 2\frac{1}{5} = 2.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by 3-x.

$$21-7x=2\left(5-x\right)$$

Use the distributive property to multiply 2 by 5-x.

$$21-7x=10-2x$$

Add 2x to both sides.

$$21-7x+2x=10$$

Combine -7x and 2x to get -5x.

$$21-5x=10$$

Subtract 21 from both sides.

$$-5x=10-21$$

Subtract 21 from 10 to get -11.

$$-5x=-11$$

Divide both sides by -5.

$$x=\frac{-11}{-5}$$

Fraction \frac{-11}{-5} can be simplified to \frac{11}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{11}{5}$$