Solve 4x-9x+2=7x-5x-9

$$4x-9x+2=7x-5x-9$$

Solve for x

$$x = \frac{11}{7} = 1\frac{4}{7} \approx 1.571428571$$

Steps for Solving Linear Equation

Combine 4x and -9x to get -5x.

$$-5x+2=7x-5x-9$$

Combine 7x and -5x to get 2x.

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

Subtract 2x from both sides.

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

Combine -5x and -2x to get -7x.

$$-7x+2=-9$$

Subtract 2 from both sides.

$$-7x=-9-2$$

Subtract 2 from -9 to get -11.

$$-7x=-11$$

Divide both sides by -7.

$$x=\frac{-11}{-7}$$

Fraction \frac{-11}{-7} can be simplified to \frac{11}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{11}{7}$$