Which value of x satisfies the equation 4/5 (x+5/3) = 8/15
To find the value of x that satisfies the equation, we need to solve for x. We can start by multiplying both sides of the equation by the reciprocal of the coefficient of the x-term, which is (5/4):
(5/4)(4/5)(x + 5/3) = (5/4)(8/15)
This simplifies to:
x + 5/3 = 2/3
Now, subtract 5/3 from both sides:
x = 2/3 - 5/3
x = -3/3
x = -1
The value of x that satisfies the equation is -1.
To solve the equation 4/5(x+5/3) = 8/15 for x, we can follow these steps:
Step 1: Distribute the 4/5 to eliminate the parentheses:
4/5(x+5/3) = 8/15
4/5 * x + 4/5 * 5/3 = 8/15
Step 2: Simplify the expression on the left side of the equation:
4/5 * x + 20/15 = 8/15
Step 3: Combine like terms:
4/5 * x + 20/15 - 8/15 = 0
4/5 * x + 12/15 = 0
Step 4: Simplify the fractions:
4/5 * x + 4/5 = 0
Step 5: Subtract 4/5 from both sides:
4/5 * x + 4/5 - 4/5 = 0 - 4/5
4/5 * x = -4/5
Step 6: Multiply both sides of the equation by the reciprocal of 4/5 (which is 5/4) to isolate x:
(5/4) * (4/5 * x) = (5/4) * (-4/5)
x = -5/4
Therefore, the value of x that satisfies the equation 4/5(x+5/3) = 8/15 is x = -5/4.
To find the value of x that satisfies the equation 4/5(x + 5/3) = 8/15, we can use the following steps:
Step 1: Simplify the equation by distributing the 4/5 to both terms inside the parentheses:
(4/5) * x + (4/5) * (5/3) = 8/15
(4/5) * x + (20/15) = 8/15
Step 2: Simplify further by adding the fractions inside the parentheses:
(4/5) * x + (4/3) = 8/15
Step 3: Move the constant term (4/3) to the other side of the equation by subtracting it from both sides:
(4/5) * x = 8/15 - 4/3
Step 4: Simplify the equation:
(4/5) * x = 8/15 - (20/15)
(4/5) * x = -12/15
Step 5: Simplify the right side of the equation further:
(4/5) * x = -4/5
Step 6: Multiply both sides of the equation by the reciprocal of (4/5), which is (5/4), to isolate x:
[(5/4) * (4/5)] * x = -4/5 * (5/4)
1 * x = -20/20
x = -1
Therefore, the value of x that satisfies the equation 4/5(x + 5/3) = 8/15 is x = -1.