-1.5(t-2)=-10.5 — step-by-step solution

Let's solve in

ℝ

-1.5 \cdot (t - 2) = -10.5

ⓘ Expand by multiplying each term inside the parentheses:

- 1.5 \cdot (t - 2)

- (1.5 t - 3)

- (1.5 t - 3) = -10.5

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

- (1.5 t - 3)

- 1.5 t + 3

- 1.5 t + 3 = -10.5

ⓘ We gather the terms in

t

on the right and the other terms on the left

3 + 10.5 = 1.5 t

ⓘ Start from

3

and move forward

10.5

on the number line:

3 + 10.5

13.5

13.5 = 1.5 t

ⓘ Both sides are divided by

1.5

t = \frac{13.5}{1.5}

ⓘ The numerator and the denominator are multiplied by

10

to remove the decimal point, then divided by

15

, their greatest common divisor:

\frac{13.5}{1.5}

\frac{13.5 \cdot 10}{1.5 \cdot 10}

\frac{135}{15}

9

▶Solution found:

t = 9