8= 3/4 (5x+20) — step-by-step solution

⚠ 3/4 (5x+20) is read as (3/4)*(5x+20): use (3/4)*(5x+20) to multiply by the following factor, use 3/(4*(5x+20)) to include it in the denominator

Let's solve in

ℝ

\frac{3}{4} \cdot (5 x + 20) = 8

ⓘ Multiplying a fraction by a term multiplies its numerator:

\frac{3}{4} \cdot (5 x + 20)

\frac{3 \cdot (5 x + 20)}{4}

\frac{3 \cdot (5 x + 20)}{4} = 8

3 \cdot (5 x + 20) = 8 \cdot 4

ⅰ

8 \cdot 4

32

3 \cdot (5 x + 20) = 32

ⓘ Expand by multiplying each term inside the parentheses:

3 \cdot (5 x + 20)

15 x + 60

15 x + 60 = 32

ⓘ We subtract

60

from both sides

15 x = 32 - 60

ⓘ Start from

32

and move back

60

on the number line, going below zero:

32 - 60

-28

15 x = -28

ⓘ Both sides are divided by

15

▶Solution found:

x = - \frac{28}{15}

The numeric value of:

x = - \frac{28}{15}

is:

▷

x = \approx -1.8667