-(8+3x)+5=2x+3 — step-by-step solution

Let's solve in

ℝ

- (8 + 3 x) + 5 = 2 x + 3

ⓘ A minus sign before a parenthesis changes the sign of each of its terms:

- (8 + 3 x)

- 8 - 3 x

- 8 - 3 x + 5 = 2 x + 3

ⓘ Start from

-8

and move forward

5

on the number line, getting closer to zero:

- 8 + 5

-3

- 3 - 3 x = 2 x + 3

ⓘ We gather the terms in

x

on the right and the other terms on the left

- 3 - 3 = 2 x + 3 x

ⓘ Start from

-3

and move back

3

more on the number line, away from zero:

- 3 - 3

-6

■Like terms are grouped by adding their coefficients:

2 x + 3 x

5 x

-6 = 5 x

ⓘ Both sides are divided by

5

▶Solution found:

x = - \frac{6}{5}

The numeric value of:

x = - \frac{6}{5}

is:

▷

x = -1.2