What is the answer to 2/5 x=2(x+1) ?

The answer to 2/5 x=2(x+1) is x=-5/4

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2/5 x=2(x+1)

\frac{2}{5} x = 2 (x + 1)

x = - \frac{5}{4}

Decimal Notation

x = - 1.25

Solution steps

\frac{2}{5} x = 2 (x + 1)

Expand

2 (x + 1) : 2 x + 2

\frac{2}{5} x = 2 x + 2

Move

2 x

to the left side

- \frac{8}{5} x = 2

Multiply both sides by

5

- 8 x = 10

Divide both sides by

- 8

x = - \frac{5}{4}

x^{2} - 8 x + 16 = 25

x^{2} - 26 x + 25

\frac{( 2 x ^{2} ) ^{3} y ^{2}}{4 x ^{4} y ^{2}}

4 p q^{2} + 5 q r + 3 pq r

3 (y + 1) + 2 y = 5 (y - 1) + 5