Solve 3x+4^2=4x+(26:3)

$$3 x + 4 ^ { 2 } = 4 x + ( 26 : 3 )$$

Solve for x

$$x = \frac{22}{3} = 7\frac{1}{3} \approx 7.333333333$$

Steps for Solving Linear Equation

Calculate 4 to the power of 2 and get 16.

$$3x+16=4x+\frac{26}{3}$$

Subtract 4x from both sides.

$$3x+16-4x=\frac{26}{3}$$

Combine 3x and -4x to get -x.

$$-x+16=\frac{26}{3}$$

Subtract 16 from both sides.

$$-x=\frac{26}{3}-16$$

Convert 16 to fraction \frac{48}{3}.

$$-x=\frac{26}{3}-\frac{48}{3}$$

Since \frac{26}{3} and \frac{48}{3} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{26-48}{3}$$

Subtract 48 from 26 to get -22.

$$-x=-\frac{22}{3}$$

Multiply both sides by -1.

$$x=\frac{22}{3}$$