Solve 3x+2-5x=9x+6x-5

$$3 x + 2 - 5 x = 9 x + 6 x - 5$$

Solve for x

$$x=\frac{7}{17}\approx 0.411764706$$

Steps for Solving Linear Equation

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

$$-2x+2=9x+6x-5$$

Combine 9x and 6x to get 15x.

$$-2x+2=15x-5$$

Subtract 15x from both sides.

$$-2x+2-15x=-5$$

Combine -2x and -15x to get -17x.

$$-17x+2=-5$$

Subtract 2 from both sides.

$$-17x=-5-2$$

Subtract 2 from -5 to get -7.

$$-17x=-7$$

Divide both sides by -17.

$$x=\frac{-7}{-17}$$

Fraction \frac{-7}{-17} can be simplified to \frac{7}{17} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{17}$$