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45 votes
45 votes
For what value of x does 4x = (1/8) x+5

User Troy Comi
by
2.3k points

2 Answers

25 votes
25 votes

Answer:

40/31

Explanation:

4x = (1/8)x + 5

=> 4x - 5 = (1/8)x

=> 8(4x-5) = x

=> 32x - 40 = x

=> 32x - x = 40

=> 31x = 40

=> x = 40/31

User Light Yagmi
by
3.2k points
25 votes
25 votes

Answer: Use main properties of powers

to simplify given equation.

1.

2.

3. Then the equation is

The bases are the same, so equate the powers:

2x=-3x-15,

2x+3x=-15,

5x=-15,

x=-3.

Answer: for x=-3.

Explanation:

User Kacey
by
3.3k points