4x+3(4x+7)=4(7x+3)-3 — step-by-step solution

Let's solve in

ℝ

4 x + 3 \cdot (4 x + 7) = 4 \cdot (7 x + 3) - 3

ⓘ Expand by multiplying each term inside the parentheses:

3 \cdot (4 x + 7)

12 x + 21

4 \cdot (7 x + 3)

28 x + 12

4 x + 12 x + 21 = 28 x + 12 - 3

ⓘ Like terms are grouped by adding their coefficients:

4 x + 12 x

16 x

■Start from

12

and move back

3

on the number line:

12 - 3

9

16 x + 21 = 28 x + 9

ⓘ We gather the terms in

x

on the right and the other terms on the left

21 - 9 = 28 x - 16 x

ⓘ Start from

21

and move back

9

on the number line:

21 - 9

12

■Like terms are grouped by adding their coefficients:

28 x - 16 x

12 x

12 = 12 x

ⓘ Both sides are divided by

12

x = \frac{12}{12}

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

12

, their greatest common divisor:

\frac{12}{12}

1

▶Solution obtained:

x = 1