Solve (45-2x)*14/7=11/14

$$( 45 - 2 x ) \cdot 1 \frac { 4 } { 7 } = \frac { 11 } { 14 }$$

Solve for x

$$x = \frac{89}{4} = 22\frac{1}{4} = 22.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 7,14.

$$2\left(45-2x\right)\left(1\times 7+4\right)=11$$

Multiply 1 and 7 to get 7.

$$2\left(45-2x\right)\left(7+4\right)=11$$

Add 7 and 4 to get 11.

$$2\left(45-2x\right)\times 11=11$$

Multiply 2 and 11 to get 22.

$$22\left(45-2x\right)=11$$

Use the distributive property to multiply 22 by 45-2x.

$$990-44x=11$$

Subtract 990 from both sides.

$$-44x=11-990$$

Subtract 990 from 11 to get -979.

$$-44x=-979$$

Divide both sides by -44.

$$x=\frac{-979}{-44}$$

Reduce the fraction \frac{-979}{-44} to lowest terms by extracting and canceling out -11.

$$x=\frac{89}{4}$$