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

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

Solve for x

$$x=-\frac{3}{8}=-0.375$$

Steps for Solving Linear Equation

The opposite of -2x is 2x.

$$6x+1=2-\left(4+2x\right)$$

To find the opposite of 4+2x, find the opposite of each term.

$$6x+1=2-4-2x$$

Subtract 4 from 2 to get -2.

$$6x+1=-2-2x$$

Add 2x to both sides.

$$6x+1+2x=-2$$

Combine 6x and 2x to get 8x.

$$8x+1=-2$$

Subtract 1 from both sides.

$$8x=-2-1$$

Subtract 1 from -2 to get -3.

$$8x=-3$$

Divide both sides by 8.

$$x=\frac{-3}{8}$$

Fraction \frac{-3}{8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$x=-\frac{3}{8}$$