Solve 11x-9+14x-16=21x+13-9x+14

$$11 x - 9 + 14 x - 16 = 21 x + 13 - 9 x + 14$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Combine 11x and 14x to get 25x.

$$25x-9-16=21x+13-9x+14$$

Subtract 16 from -9 to get -25.

$$25x-25=21x+13-9x+14$$

Combine 21x and -9x to get 12x.

$$25x-25=12x+13+14$$

Add 13 and 14 to get 27.

$$25x-25=12x+27$$

Subtract 12x from both sides.

$$25x-25-12x=27$$

Combine 25x and -12x to get 13x.

$$13x-25=27$$

Add 25 to both sides.

$$13x=27+25$$

Add 27 and 25 to get 52.

$$13x=52$$

Divide both sides by 13.

$$x=\frac{52}{13}$$

Divide 52 by 13 to get 4.

$$x=4$$