Solve 22x+4=12(-x+45)

$$22 x + 4 = 12 ( - x + 45 )$$

Solve for x

$$x = \frac{268}{17} = 15\frac{13}{17} \approx 15.764705882$$

Steps for Solving Linear Equation

Use the distributive property to multiply 12 by -x+45.

$$22x+4=12\left(-x\right)+540$$

Subtract 12\left(-x\right) from both sides.

$$22x+4-12\left(-x\right)=540$$

Multiply -1 and 12 to get -12.

$$22x+4-12\left(-1\right)x=540$$

Multiply -12 and -1 to get 12.

$$22x+4+12x=540$$

Combine 22x and 12x to get 34x.

$$34x+4=540$$

Subtract 4 from both sides.

$$34x=540-4$$

Subtract 4 from 540 to get 536.

$$34x=536$$

Divide both sides by 34.

$$x=\frac{536}{34}$$

Reduce the fraction \frac{536}{34} to lowest terms by extracting and canceling out 2.

$$x=\frac{268}{17}$$