Solve 2+5x-19x+1=-13x+18+9x

$$2+5x-19x+1=-13x+18+9x$$

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Combine 5x and -19x to get -14x.

$$2-14x+1=-13x+18+9x$$

Add 2 and 1 to get 3.

$$3-14x=-13x+18+9x$$

Combine -13x and 9x to get -4x.

$$3-14x=-4x+18$$

Add 4x to both sides.

$$3-14x+4x=18$$

Combine -14x and 4x to get -10x.

$$3-10x=18$$

Subtract 3 from both sides.

$$-10x=18-3$$

Subtract 3 from 18 to get 15.

$$-10x=15$$

Divide both sides by -10.

$$x=\frac{15}{-10}$$

Reduce the fraction \frac{15}{-10} to lowest terms by extracting and canceling out 5.

$$x=-\frac{3}{2}$$