Solve for x.

6x - 3 = 21 - 2x

(SHOW YOUR WORK)

Answer:x=3

Step-by-step explanation:first add 2x to both sides to get all the x's together

6x - 3 + 2x = 21

then add three to both sides to get the x's alone

6x + 2x = 21 + 3

simplify both sides of the equation

8x = 24

divide both sides by 8 to get x by itself

24/8 = 3

Simplifying

6x + - 3 = 21 + - 2x

Reorder the terms:

-3 + 6x = 21 + - 2x

Solving

-3 + 6x = 21 + - 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

-3 + 6x + 2x = 21 + - 2x + 2x

Combine like terms: 6x + 2x = 8x

-3 + 8x = 21 + - 2x + 2x

Combine like terms: - 2x + 2x = 0

-3 + 8x = 21 + 0

-3 + 8x = 21

Add '3' to each side of the equation.

-3 + 3 + 8x = 21 + 3

Combine like terms: - 3 + 3 = 0

0 + 8x = 21 + 3

8x = 21 + 3

Combine like terms: 21 + 3 = 24

8x = 24

Divide each side by '8'.

x = 3

Simplifying

x = 3