Solve 2x-6-2(2x+8)/3=4x-1

$$2 x - 6 - \frac { 2 ( 2 x + 8 ) } { 3 } = 4 x - 1$$

Solve for x

$$x = -\frac{31}{10} = -3\frac{1}{10} = -3.1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$6x-18-2\left(2x+8\right)=12x-3$$

Use the distributive property to multiply -2 by 2x+8.

$$6x-18-4x-16=12x-3$$

Combine 6x and -4x to get 2x.

$$2x-18-16=12x-3$$

Subtract 16 from -18 to get -34.

$$2x-34=12x-3$$

Subtract 12x from both sides.

$$2x-34-12x=-3$$

Combine 2x and -12x to get -10x.

$$-10x-34=-3$$

Add 34 to both sides.

$$-10x=-3+34$$

Add -3 and 34 to get 31.

$$-10x=31$$

Divide both sides by -10.

$$x=\frac{31}{-10}$$

Fraction \frac{31}{-10} can be rewritten as -\frac{31}{10} by extracting the negative sign.

$$x=-\frac{31}{10}$$