Solve sqrt{29+4(5)}=23-x(5)

$$\sqrt{ 29+4(5) } =23-x(5)$$

Solve for x

$$x = \frac{16}{5} = 3\frac{1}{5} = 3.2$$

Steps for Solving Linear Equation

Multiply 4 and 5 to get 20.

$$\sqrt{29+20}=23-x\times 5$$

Add 29 and 20 to get 49.

$$\sqrt{49}=23-x\times 5$$

Calculate the square root of 49 and get 7.

$$7=23-x\times 5$$

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

$$23-x\times 5=7$$

Multiply -1 and 5 to get -5.

$$23-5x=7$$

Subtract 23 from both sides.

$$-5x=7-23$$

Subtract 23 from 7 to get -16.

$$-5x=-16$$

Divide both sides by -5.

$$x=\frac{-16}{-5}$$

Fraction \frac{-16}{-5} can be simplified to \frac{16}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{16}{5}$$