# How do you solve 4/11 x +23 = x -19?

Dec 4, 2017

$x = 66$

#### Explanation:

multiply all for 11

$4 x + 23 \left(11\right) = 11 x - 19 \left(11\right)$

$4 x + 253 = 11 x - 209$

$4 x - 11 x = - 209 - 253$

$- 7 x = - 462$

$x = 66$

Dec 4, 2017

Solve for x by rearranging the equation.
x = 66

#### Explanation:

Move the like terms to one side. What you do to one side of the equation is done to the other.

• 19 + 23 = $- \frac{4}{11} + x$
Note: to match the fraction, x=1, so x is also $\frac{11}{11}$.
• 42 = $\frac{7}{11}$
From here you solve for x by dividing/multiplying by $\frac{7}{11}$ to isolate the x.
• x = 42( $\frac{11}{7}$)
• x = 66