2.5(10x-16)=5 — step-by-step solution

Let's solve in

ℝ

2.5 \cdot (10 x - 16) = 5

ⓘ Expand by multiplying each term inside the parentheses:

2.5 \cdot (10 x - 16)

25 x - 40

25 x - 40 = 5

ⓘ We add

40

to both sides

25 x = 5 + 40

ⓘ Start from

5

and move forward

40

on the number line:

5 + 40

45

25 x = 45

ⓘ Both sides are divided by

25

x = \frac{45}{25}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

5

, their greatest common divisor:

\frac{45}{25}

\frac{9 \cdot 5}{5 \cdot 5}

\frac{9}{5}

▶Solution obtained:

x = \frac{9}{5}

The numeric value of:

x = \frac{9}{5}

equals:

▷

x = 1.8