12x-4(5x-1)=3-4x — step-by-step solution

Let's solve in

ℝ

12 x - 4 \cdot (5 x - 1) = 3 - 4 x

ⓘ Expand by multiplying each term inside the parentheses:

- 4 \cdot (5 x - 1)

- (20 x - 4)

12 x - (20 x - 4) = 3 - 4 x

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

- (20 x - 4)

- 20 x + 4

12 x - 20 x + 4 = 3 - 4 x

ⓘ Like terms are grouped by adding their coefficients:

12 x - 20 x

-8 x

- 8 x + 4 = 3 - 4 x

ⓘ We gather the terms in

x

on the right and the other terms on the left

4 - 3 = - 4 x + 8 x

ⓘ Start from

4

and move back

3

on the number line:

4 - 3

1

■Like terms are grouped by adding their coefficients:

- 4 x + 8 x

4 x

1 = 4 x

ⓘ Both sides are divided by

4

▶Solution found:

x = \frac{1}{4}

The numeric value of:

x = \frac{1}{4}

is:

▷

x = 0.25