Answer:
x = 9
Step-by-step explanation:
75 - 6x = 4x - 15
We want to arrive at an answer that looks like
x = a number,
so we want x on the left side and numbers on the right side.
Remember that whichever operation we do to one side of the equation, we must do to both sides.
Since there is a 75 on the left side, and it is being added to -6x, subtract 75 from both sides.
75 - 75 - 6x = 4x - 15 - 75
Simplify both sides.
-6x = 4x - 90
Since there is a 4x on the right side, and it is being added to -90, subtract 4x from both sides.
-6x - 4x = 4x - 4x - 90
Simplify both sides.
-10x = -90
We want x, but x is being multiplied by -10, so we divide both sides by -10.
[tex] \dfrac{-10x}{-10} = \dfrac{-90}{-10} [/tex]
Simplify both sides.
x = 9
