Solve 3-7(1-2x)=5-(x-9)

$$3 - 7 ( 1 - 2 x ) = 5 - ( x - 9 )$$

Solve for x

$$x = \frac{6}{5} = 1\frac{1}{5} = 1.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by 1-2x.

$$3-7+14x=5-\left(x-9\right)$$

Subtract 7 from 3 to get -4.

$$-4+14x=5-\left(x-9\right)$$

To find the opposite of x-9, find the opposite of each term.

$$-4+14x=5-x-\left(-9\right)$$

The opposite of -9 is 9.

$$-4+14x=5-x+9$$

Add 5 and 9 to get 14.

$$-4+14x=14-x$$

Add x to both sides.

$$-4+14x+x=14$$

Combine 14x and x to get 15x.

$$-4+15x=14$$

Add 4 to both sides.

$$15x=14+4$$

Add 14 and 4 to get 18.

$$15x=18$$

Divide both sides by 15.

$$x=\frac{18}{15}$$

Reduce the fraction \frac{18}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{6}{5}$$