# How do you solve -25( x - 4) = 55( x - 10)?

Dec 9, 2016

$x = 8.125$

#### Explanation:

First, distribute the multipliers across the terms within parenthesis:

$- 25 x + 100 = 55 x - 550$

Now solve for $x$ while keeping the equation balanced:

$- 25 x + 25 x + 100 + 550 = 55 x + 25 x - 550 + 550$

$0 + 650 = 80 x - 0$

$650 = 80 x$

$\frac{650}{80} = \frac{80 x}{80}$

$8.125 = \frac{\cancel{80} x}{\cancel{80}}$

$x = 8.125$

Dec 9, 2016

x = 8.125

#### Explanation:

-25(x-4) = 55(x-10)

First distribute the -25 and the 55. (By multiplying in the parentheses.)

-25x+100 = 55x - 550

Next, add 550 to both sides.

-25x +650 = 55x

Then, add 25x to both sides.

650 = 80x

After that, divide 80 from both sides.

8.125 = x

Lastly, switch the x and 8.125.

x = 8.125