Solve 6.8x=-3.9-(-8.9x-1)-2x

$$6.8 x = - 3.9 - ( - 8.9 x - 1 ) - 2 x$$

Solve for x

$$x=29$$

Steps for Solving Linear Equation

To find the opposite of -8.9x-1, find the opposite of each term.

$$6.8x=-3.9-\left(-8.9x\right)-\left(-1\right)-2x$$

The opposite of -8.9x is 8.9x.

$$6.8x=-3.9+8.9x-\left(-1\right)-2x$$

The opposite of -1 is 1.

$$6.8x=-3.9+8.9x+1-2x$$

Add -3.9 and 1 to get -2.9.

$$6.8x=-2.9+8.9x-2x$$

Combine 8.9x and -2x to get 6.9x.

$$6.8x=-2.9+6.9x$$

Subtract 6.9x from both sides.

$$6.8x-6.9x=-2.9$$

Combine 6.8x and -6.9x to get -0.1x.

$$-0.1x=-2.9$$

Divide both sides by -0.1.

$$x=\frac{-2.9}{-0.1}$$

Expand \frac{-2.9}{-0.1} by multiplying both numerator and the denominator by 10.

$$x=\frac{-29}{-1}$$

Fraction \frac{-29}{-1} can be simplified to 29 by removing the negative sign from both the numerator and the denominator.

$$x=29$$