Question

$\frac{2}{5}(2x + 15)=10 + x$

Explanation:

Step1: Eliminate fraction by multiplying both sides by 5

Multiply each term by 5 to get rid of the denominator.
$$5\times\frac{2}{5}(2x + 15)=5\times(10 + x)$$
Simplify both sides:
$$2(2x + 15)=50 + 5x$$

Step2: Expand the left - hand side

Use the distributive property \(a(b + c)=ab+ac\) to expand \(2(2x + 15)\).
$$4x+30 = 50+5x$$

Step3: Move all x - terms to one side and constants to the other

Subtract \(4x\) from both sides and subtract 50 from both sides.
$$4x - 4x+30-50=50 - 50+5x - 4x$$
Simplify the equation:
$$- 20=x$$

Answer:

\(x=-20\)