Solve 2X-11=6x+10

$$2 X - 11 = 6 x + 10$$

Solve for X

$$X=3x+\frac{21}{2}$$

Steps for Solving Linear Equation

Add 11 to both sides.

$$2X=6x+10+11$$

Add 10 and 11 to get 21.

$$2X=6x+21$$

Divide both sides by 2.

$$\frac{2X}{2}=\frac{6x+21}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$X=\frac{6x+21}{2}$$

Divide 6x+21 by 2.

$$X=3x+\frac{21}{2}$$

Solve for x

$$x=\frac{X}{3}-\frac{7}{2}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$6x+10=2X-11$$

Subtract 10 from both sides.

$$6x=2X-11-10$$

Subtract 10 from -11 to get -21.

$$6x=2X-21$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{2X-21}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{2X-21}{6}$$

Divide 2X-21 by 6.

$$x=\frac{X}{3}-\frac{7}{2}$$