Solve (4.5-2x)*14/7=11/14

$$( 4.5 - 2 x ) \cdot 1 \frac { 4 } { 7 } = \frac { 11 } { 14 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$2\left(4.5-2x\right)\left(1\times 7+4\right)=11$$

Multiply 1 and 7 to get 7.

$$2\left(4.5-2x\right)\left(7+4\right)=11$$

Add 7 and 4 to get 11.

$$2\left(4.5-2x\right)\times 11=11$$

Multiply 2 and 11 to get 22.

$$22\left(4.5-2x\right)=11$$

Use the distributive property to multiply 22 by 4.5-2x.

$$99-44x=11$$

Subtract 99 from both sides.

$$-44x=11-99$$

Subtract 99 from 11 to get -88.

$$-44x=-88$$

Divide both sides by -44.

$$x=\frac{-88}{-44}$$

Divide -88 by -44 to get 2.

$$x=2$$