X+4÷7=-2
What does x equal?
Please show your work.
If
x+4•7=-2
then
x+28=-2
x=-30
If
x+ 4⁷=-2
then
x+16384=-2
x=-16386
x + 4/7 = -2
x = -2 4/7
To find the value of x, we will solve the given equation step by step.
Step 1: Let's begin by moving the term 4÷7 to the other side of the equation by subtracting it from both sides:
X + 4÷7 - 4÷7 = -2 - 4÷7
Simplifying, we get:
X = -2 - 4÷7
Step 2: Now, let's simplify the right side of the equation by finding a common denominator for -2 and 4÷7. The common denominator is 7.
X = -2 - (4÷7) * (7÷7) [Multiplying 4 and 7 together will give us the common denominator of 7]
Simplifying further:
X = -2 - (28÷49)
Step 3: Now, let's evaluate 28÷49:
X = -2 - 0.5714
Step 4: To subtract a decimal from a whole number, we need to convert the whole number (-2) into a decimal:
X = -2.0000 - 0.5714
Step 5: Subtracting the two decimals:
X = -2.5714
Therefore, the value of x is -2.5714.