Question

Solve the following equation:
$5(1 - 2x) = 9(1 - x)$

Answer 1

Hint: This is one variable problem and solve it by bringing all variable terms to one side.
Complete step by step answer:
There are variable terms in the brackets in the following equation:
$5(1 - 2x) = 9(1 - x)$, where $x$ is our variable.
To solve this equation we will first open the brackets and then bring the variable terms on the left hand side.
$
   \Rightarrow 5 - 10x = 9 - 9x \\
   \Rightarrow - 10x + 9x = 9 - 5 \\
   \Rightarrow - x = 4 \\
$
Multiplying by (-1) on both sides, we get,
$ \Rightarrow x = - 4$
This is our solution.
Note: Be careful with signs while opening the brackets and bringing terms to the other side of the equation.