How do you solve 2(2-3x)=4(1-3/2x)?

Dec 30, 2016

$x$ can have any value.

Explanation:

$2 \left(2 - 3 x\right) = 4 \left(1 - \frac{3}{2} x\right) \text{ } \leftarrow$ remove the brackets

$4 - 6 x = 4 - 6 x \text{ } \leftarrow$ both sides are identical

$6 x - 6 x = 4 - 4$

$0 = 0$

This is a true statement but there is no $x$ left to solve for.

This is a special type of equation called an identity.

It will be true for any and every value of $x$