Question

1) Nas equações abaixo, calcule o valor de x: a) 2x + 5 = 15 + x b) 6 + 2x = 20 - 2x c) 5x -6 = 6 + 2x d) 5x - 18 = 32

Answer 1

Resposta:

a) x = 10

b) x = 14/4

c) x = 4

d) x = 10

Explicação passo-a-passo:

a) 2x + 5 = 15 + x

2x - x = 15 - 5

x=10

b) 6 + 2x = 20 - 2x

2x + 2x = 20 - 6

4x = 14

x= 14/4

c) 5x -6 = 6 + 2x

5x - 2x = 6 + 6

3x = 12

x = 12/3

x= 4

d) 5x - 18 = 32

5x = 32 + 18

5x = 50

x = 50/5

x= 10

Answer 2

$a) \\ 2x + 5 = 15 + x\\ 2x - x= 15 - 5 \\x = 10$

$b) \\ 6 + 2x = 20 - 2x \\ 2x + 2x = 20 - 6 \\ 4x = 14 \\ x = \frac{14}{4} \div \frac{2}{2} \\ x = \frac{7}{2}$

$c) \\ 5x - 6 = 6 + 2x \\ 5x - 2x = 6 + 6 \\ 3x = 12 \\ x = \frac{12}{3} \\ x = 4$

$d) \\ 5x - 18 = 32 \\ 5x = 32 + 18 \\ 5x = 50 \\ x = \frac{50}{5} \\ x = 10$