4(x+2)-6(x-7)=x+4 — step-by-step solution

Let's solve in

ℝ

4 \cdot (x + 2) - 6 \cdot (x - 7) = x + 4

ⓘ Expand by multiplying each term inside the parentheses:

4 \cdot (x + 2)

4 x + 8

- 6 \cdot (x - 7)

- (6 x - 42)

4 x + 8 - (6 x - 42) = x + 4

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

- (6 x - 42)

- 6 x + 42

4 x

+ 8

- 6 x

+ 42 = x + 4

ⓘ Start from

8

and move forward

42

on the number line:

8 + 42

50

■Like terms are grouped by adding their coefficients:

4 x - 6 x

-2 x

- 2 x + 50 = x + 4

ⓘ We gather the terms in

x

on the right and the other terms on the left

50 - 4 = x + 2 x

ⓘ Start from

50

and move back

4

on the number line:

50 - 4

46

■Like terms are grouped by adding their coefficients:

x + 2 x

3 x

46 = 3 x

ⓘ Both sides are divided by

3

▶Solution obtained:

x = \frac{46}{3}

The numeric value of:

x = \frac{46}{3}

is:

▷

x = \approx 15.3333