Question

5/8（х-2）-2/3（х+2）=-1

Answer 1

(5/8)x-(2/3)x-1 1/3=-1
-(1/24)x=1/3
x=-8

Answer 2

To solve the equation, we need to find the value of 'x' that satisfies the equation. Here's how we can do it step by step:

Step 1: Clear the denominators by finding a common denominator for the fractions involved. The common denominator for 8 and 3 is 24.

So, let's rewrite the equation with a common denominator of 24:

(5/8)(24)(x - 2) - (2/3)(24)(x + 2) = -1

Step 2: Simplify the equation by multiplying through the parentheses:

(5/8) * 24 * x - (5/8) * 24 * 2 - (2/3) * 24 * x - (2/3) * 24 * 2 = -1

Step 3: Now, solve for 'x':

(5/8) * 24 * x - (2/3) * 24 * x = -1 + (5/8) * 24 * 2 + (2/3) * 24 * 2

Step 4: Continue simplifying:

(120/8) * x - (48/3) * x = -1 + 30 + 16

Step 5: Combine like terms:

15x - 16x = 45

Step 6: Solve for 'x':

-x = 45

Step 7: Multiply both sides by -1 to isolate 'x':

x = -45

So, the value of 'x' that satisfies the equation is x = -45.