Solve 4x+3^-26x-2=5x+4

$$4 x + 3 ^ { - 2 } 6 x - 2 = 5 x + 4$$

Solve for x

$$x=-18$$

Steps for Solving Linear Equation

Calculate 3 to the power of -2 and get \frac{1}{9}.

$$4x+\frac{1}{9}\times 6x-2=5x+4$$

Multiply \frac{1}{9} and 6 to get \frac{2}{3}.

$$4x+\frac{2}{3}x-2=5x+4$$

Combine 4x and \frac{2}{3}x to get \frac{14}{3}x.

$$\frac{14}{3}x-2=5x+4$$

Subtract 5x from both sides.

$$\frac{14}{3}x-2-5x=4$$

Combine \frac{14}{3}x and -5x to get -\frac{1}{3}x.

$$-\frac{1}{3}x-2=4$$

Add 2 to both sides.

$$-\frac{1}{3}x=4+2$$

Add 4 and 2 to get 6.

$$-\frac{1}{3}x=6$$

Multiply both sides by -3, the reciprocal of -\frac{1}{3}.

$$x=6\left(-3\right)$$

Multiply 6 and -3 to get -18.

$$x=-18$$