Solve (3)-22=12(7-7x)+101-2(-11x-11)

$$( 3 ) - 22 = 12 ( 7 - 7 x ) + 101 - 2 ( - 11 x - 11 )$$

Solve for x

$$x = \frac{113}{31} = 3\frac{20}{31} \approx 3.64516129$$

Steps for Solving Linear Equation

Subtract 22 from 3 to get -19.

$$-19=12\left(7-7x\right)+101-2\left(-11x-11\right)$$

Use the distributive property to multiply 12 by 7-7x.

$$-19=84-84x+101-2\left(-11x-11\right)$$

Add 84 and 101 to get 185.

$$-19=185-84x-2\left(-11x-11\right)$$

Use the distributive property to multiply -2 by -11x-11.

$$-19=185-84x+22x+22$$

Combine -84x and 22x to get -62x.

$$-19=185-62x+22$$

Add 185 and 22 to get 207.

$$-19=207-62x$$

Swap sides so that all variable terms are on the left hand side.

$$207-62x=-19$$

Subtract 207 from both sides.

$$-62x=-19-207$$

Subtract 207 from -19 to get -226.

$$-62x=-226$$

Divide both sides by -62.

$$x=\frac{-226}{-62}$$

Reduce the fraction \frac{-226}{-62} to lowest terms by extracting and canceling out -2.

$$x=\frac{113}{31}$$