-2x + 86 = 8x - 264
show your work in detail using pemdas
To solve the equation -2x + 86 = 8x - 264, we'll follow the steps while using the PEMDAS approach:
Step 1: Simplify both sides of the equation if possible.
On the left side:
-2x + 86
On the right side:
8x - 264
Step 2: Reorder the equation so that the variables are on one side and the constants on the other side.
-2x + 86 = 8x - 264
Step 3: Combine like terms on each side simplifying the equation further.
Add 2x to both sides:
-2x + 2x + 86 = 8x + 2x - 264
0x + 86 = 10x - 264
Step 4: Combine constants on each side.
Subtract 86 from both sides:
0x + 86 - 86 = 10x - 264 - 86
0x = 10x - 350
Step 5: Simplify and isolate the variable.
Subtract 10x from both sides:
0x - 10x = 10x - 350 - 10x
-10x = -350
Step 6: Solve for x.
Divide both sides by -10:
(-10x) / (-10) = (-350) / (-10)
x = 35
Therefore, the solution to the equation -2x + 86 = 8x - 264 is x = 35.
To solve the equation -2x + 86 = 8x - 264 using PEMDAS (the order of operations: Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right), we need to rearrange the equation to isolate the variable x.
Step 1: Combine like terms
Start by moving the variable terms to one side of the equation and the constant terms to the other side:
-2x - 8x = -264 - 86
Simplifying, we have:
-10x = -350
Step 2: Solve for x
To isolate the variable x, divide both sides by -10:
-10x / -10 = -350 / -10
This simplifies to:
x = 35
So, the solution to the equation is x = 35.