25*42-25*2x=348 — step-by-step solution

Let's solve in

ℝ

25 \cdot 42 - 25 \cdot 2 x = 348

ⓘ Multiplications are done before additions and subtractions:

25 \cdot 42

(20 + 5) \cdot 42

20 \cdot 42 + 5 \cdot 42

840 + 210

1050

25 \cdot 2

(20 + 5) \cdot 2

20 \cdot 2 + 5 \cdot 2

40 + 10

50

1050 - 50 x = 348

ⓘ We gather the terms in

x

on the right and the other terms on the left

1050 - 348 = 50 x

ⓘ Start from

1050

and move back

348

on the number line:

1050 - 348

702

702 = 50 x

ⓘ Both sides are divided by

50

x = \frac{702}{50}

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

2

, their greatest common divisor:

\frac{702}{50}

\frac{351 \cdot 2}{25 \cdot 2}

\frac{351}{25}

▶Solution obtained:

x = \frac{351}{25}

The numeric value of:

x = \frac{351}{25}

equals:

▷

x = 14.04