8(8+x)=7+19 — step-by-step solution

Let's solve in

ℝ

8 \cdot (8 + x) = 7 + 19

ⓘ Start from

7

and move forward

19

on the number line:

7 + 19

26

8 \cdot (8 + x) = 26

ⓘ Expand by multiplying each term inside the parentheses:

8 \cdot (8 + x)

64 + 8 x

64 + 8 x = 26

ⓘ We subtract

64

from both sides

8 x = 26 - 64

ⓘ Start from

26

and move back

64

on the number line, going below zero:

26 - 64

-38

8 x = -38

ⓘ Both sides are divided by

8

x = - \frac{38}{8}

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

2

, their greatest common divisor:

- \frac{38}{8}

- \frac{19 \cdot 2}{4 \cdot 2}

- \frac{19}{4}

▶Solution obtained:

x = - \frac{19}{4}

The numeric value of:

x = - \frac{19}{4}

equals:

▷

x = -4.75