5-3(1-2x)=x-3-3x
The only "tricky" part is which part you do before the other: the subtraction [5 - 3](1-2x) or the diistribution 5 - [3(1-2x)].
If you remember your order of operations you can figure that out: which has a higher priority, subtraction or multiplication?
graph 5x+2.5y=20
To solve this equation, we will follow the order of operations (PEMDAS/BODMAS) and simplify both sides.
Let's start with the left side of the equation: 5 - 3(1 - 2x).
First, we need to simplify the expression within the parentheses, 1 - 2x. To do that, distribute the -3 to both terms inside the parentheses:
5 - 3(1 - 2x) = 5 - 3 + 6x
Simplifying further:
= 5 - 3 + 6x
= 2 + 6x
Now let's simplify the right side of the equation: x - 3 - 3x.
Combining like terms:
x - 3 - 3x = -2x - 3
Now that we have simplified both sides, we can rewrite the equation as:
2 + 6x = -2x - 3
To solve for x, we will combine like terms and isolate the variable on one side of the equation.
Add 2x to both sides:
2 + 6x + 2x = -2x - 3 + 2x
8x + 2 = -3
Next, subtract 2 from both sides:
8x + 2 - 2 = -3 - 2
8x = -5
To isolate x, divide both sides by 8:
(8x)/8 = (-5)/8
x = -5/8
Therefore, the solution to the equation 5 - 3(1 - 2x) = x - 3 - 3x is x = -5/8.