Solve 2(6x+1)=4(x-5)-2

$$2 ( 6 x + 1 ) = 4 ( x - 5 ) - 2$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 6x+1.

$$12x+2=4\left(x-5\right)-2$$

Use the distributive property to multiply 4 by x-5.

$$12x+2=4x-20-2$$

Subtract 2 from -20 to get -22.

$$12x+2=4x-22$$

Subtract 4x from both sides.

$$12x+2-4x=-22$$

Combine 12x and -4x to get 8x.

$$8x+2=-22$$

Subtract 2 from both sides.

$$8x=-22-2$$

Subtract 2 from -22 to get -24.

$$8x=-24$$

Divide both sides by 8.

$$x=\frac{-24}{8}$$

Divide -24 by 8 to get -3.

$$x=-3$$