Solve 2x-4x+5-6x=3x-8+3-5x

$$2 x - 4 x + 5 - 6 x = 3 x - 8 + 3 - 5 x$$

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

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

$$-2x+5-6x=3x-8+3-5x$$

Combine -2x and -6x to get -8x.

$$-8x+5=3x-8+3-5x$$

Add -8 and 3 to get -5.

$$-8x+5=3x-5-5x$$

Combine 3x and -5x to get -2x.

$$-8x+5=-2x-5$$

Add 2x to both sides.

$$-8x+5+2x=-5$$

Combine -8x and 2x to get -6x.

$$-6x+5=-5$$

Subtract 5 from both sides.

$$-6x=-5-5$$

Subtract 5 from -5 to get -10.

$$-6x=-10$$

Divide both sides by -6.

$$x=\frac{-10}{-6}$$

Reduce the fraction \frac{-10}{-6} to lowest terms by extracting and canceling out -2.

$$x=\frac{5}{3}$$