Question

Solve for x: two thirds plus one third times x equals two times x

Answer 1

Answer:  x = 2/5 in fraction form

In decimal form, the answer is x = 0.4

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Work Shown:

2/3 = two thirds

2/3 + (1/3)x = 2x  is the equation you're given

Multiply every term by 3 so that we clear out the fractions

3*(2/3) + 3*(1/3)x = 3*2x

2 + x = 6x

From here, we solve for x

2 + x = 6x

2+x-x = 6x-x .... subtract x from both sides

2 = 5x

5x = 2

5x/5 = 2/5 ... divide both sides by 5

x = 2/5

x = 0.4