Question

2t/7 - 10 = -2t + 4
How do you solve this Algebraic Expression? An explanation would be great but just the answer is also fine.
Thank You, to whoever answers my problem.

Answer 1

Answer:

t = 49/8

Step-by-step explanation:

$\frac{2t}{7} - 10 = - 2t + 4$

Adding 2t on both sides, we get

$\frac{2t}{7} - 10 + 2t = - 2t + 4 + 2t$

$\frac{2t + 14t}{7} -10 = 4$

$\frac{16t}{7} - 10 = 4$

Adding 10 on both sides, we get

$\frac{16t}{7} - 10 + 10 = 4 + 10$

$\frac{16t}{7} = 14$

Multiplying by 7 on both sides, we get

$\frac{16t}{7} \times 7 = 14 \times 7$

$16t = 98$

Dividing by 16 on both sides, we get

$\frac{16t}{16} = \frac{98}{16}$

$t = \frac{98}{16} = \frac{49}{8}$