# How do you solve for t in 7t= x?

Apr 21, 2016

$t = \frac{x}{7}$

#### Explanation:

The equals sign declares the condition that the inherent value on the left is the same as the inherent value on the right. So what you do to one side you also have to do to the right. Otherwise one side is not the same value as the other.

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Given:$\text{ } 7 t = x$

Assumption: you need to find the value of $t$

To find the value of $t$ we need to end up with it being on its own on one side of the = and everything else on the other side.

So we need to 'get rid' of the 7 on the left.

If we can change the 7 into 1 we have $1 \times t$ instead of $7 \times t$

Divide $\underline{\text{both}}$ sides by 7

$\frac{7}{7} \times t = \frac{x}{7}$

But $\frac{7}{7} = 1$

$1 \times t = \frac{x}{7}$

$t = \frac{x}{7}$