2/3+1/3x=2x

x=1/2
x=5/2
x=2
x=2/5

x = 2/5

Step-by-step explanation:

Solve for x:

x/3 + 2/3 = 2 x

Hint: | Combine x/3 + 2/3 into a single fraction.

x/3 + 2/3 = (x + 2)/3:

(x + 2)/3 = 2 x

Hint: | Make (x + 2)/3 = 2 x simpler by multiplying both sides by a constant.

Multiply both sides by 3:

(3 (x + 2))/3 = 3×2 x

Hint: | Cancel common terms in the numerator and denominator of (3 (x + 2))/3.

(3 (x + 2))/3 = 3/3×(x + 2) = x + 2:

x + 2 = 3×2 x

Hint: | Multiply 3 and 2 together.

3×2 = 6:

x + 2 = 6 x

Hint: | Move terms with x to the left hand side.

Subtract 6 x from both sides:

(x - 6 x) + 2 = 6 x - 6 x

Hint: | Combine like terms in x - 6 x.

x - 6 x = -5 x:

-5 x + 2 = 6 x - 6 x

Hint: | Look for the difference of two identical terms.

6 x - 6 x = 0:

2 - 5 x = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 2 from both sides:

(2 - 2) - 5 x = -2

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

-5 x = -2

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -5 x = -2 by -5:

(-5 x)/(-5) = (-2)/(-5)

Hint: | Any nonzero number divided by itself is one.

(-5)/(-5) = 1:

x = (-2)/(-5)

Hint: | Simplify the sign of (-2)/(-5).

Multiply numerator and denominator of (-2)/(-5) by -1:

x = 2/5

Simplify both sides of the equation

Subtract 2x from both sides

Subtract 2/3 from both sides

Multiply both sides by 3/-5

step-by-step explanation: