Solve 6+83x-[3+(4x-1)]9=-2

$$6 + 83 x - [ 3 + ( 4 x - 1 ) ] 9 = - 2$$

Solve for x

$$x=\frac{10}{47}\approx 0.212765957$$

Steps for Solving Linear Equation

Subtract 1 from 3 to get 2.

$$6+83x-\left(2+4x\right)\times 9=-2$$

Use the distributive property to multiply 2+4x by 9.

$$6+83x-\left(18+36x\right)=-2$$

To find the opposite of 18+36x, find the opposite of each term.

$$6+83x-18-36x=-2$$

Subtract 18 from 6 to get -12.

$$-12+83x-36x=-2$$

Combine 83x and -36x to get 47x.

$$-12+47x=-2$$

Add 12 to both sides.

$$47x=-2+12$$

Add -2 and 12 to get 10.

$$47x=10$$

Divide both sides by 47.

$$x=\frac{10}{47}$$