What is the answer to (x-7)/5 =(x-8)/4 ?

The answer to (x-7)/5 =(x-8)/4 is x=12

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(x-7)/5 =(x-8)/4

\frac{x - 7}{5} = \frac{x - 8}{4}

x = 12

Solution steps

\frac{x - 7}{5} = \frac{x - 8}{4}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(x - 7) \cdot 4 = 5 (x - 8)

Expand

(x - 7) \cdot 4 : 4 x - 28

Expand

5 (x - 8) : 5 x - 40

4 x - 28 = 5 x - 40

Move

28

to the right side

4 x = 5 x - 12

Move

5 x

to the left side

- x = - 12

Divide both sides by

- 1

x = 12

∣ 4 x + 8 ∣ + ∣ 5 x ∣ \leq 2

2 ∣ x + 4 ∣ + 1 < 15

\frac{9.0 E 16}{10900}

4 z^{2} - 196

4 a^{2} - 15 a + 9