Solve the following equation for xx. Express your answer in the simplest form.
6, left bracket, minus, 8, x, minus, 1, right bracket, equals, minus, 5, left bracket, minus, 7, x, plus, 5, right bracket
6(−8x−1)=
−5(−7x+5)
The equation has
no solution
infinitely many solutions
one solution
To solve the equation, we will first distribute the terms on both sides:
6(-8x - 1) = -5(-7x + 5)
Next, we can simplify both sides:
-48x - 6 = 35x - 25
Now, let's isolate the variable by moving all terms with x to one side:
-48x - 35x = -25 + 6
-83x = -19
Finally, we can solve for x by dividing both sides by -83:
x = -19 / -83
Simplifying this expression gives us the simplest form:
x = 19/83
Therefore, the equation has one solution.