9(x/3-6x)+8=-(-2x+5) — step-by-step solution

Let's solve in

ℝ

9 \cdot (\frac{x}{3} - 6 x) + 8 = - (- 2 x + 5)

ⓘ Like terms are grouped by adding their coefficients:

\frac{x}{3} - 6 x

\frac{-17 x}{3}

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

- (- 2 x + 5)

2 x - 5

9 \cdot \frac{-17 x}{3} + 8 = 2 x - 5

ⓘ Multiplying a fraction by a number multiplies its numerator:

9 \cdot \frac{-17 x}{3}

\frac{9 \cdot (-17) x}{3}

\frac{-153 x}{3}

\frac{-153 x}{3} + 8 = 2 x - 5

- \frac{153 x}{3} + 8 = 2 x - 5

ⓘ A fraction is simplified by dividing the numerator and the denominator by the same number:

- \frac{153 x}{3}

- 51 x

- 51 x + 8 = 2 x - 5

ⓘ We gather the terms in

x

on the right and the other terms on the left

8 + 5 = 2 x + 51 x

ⓘ Start from

8

and move forward

5

on the number line:

8 + 5

13

■Like terms are grouped by adding their coefficients:

2 x + 51 x

53 x

13 = 53 x

ⓘ Both sides are divided by

53

▶Solution obtained:

x = \frac{13}{53}

The numeric value of:

x = \frac{13}{53}

is:

▷

x = \approx 0.2453