To solve for x in the equation 5/8 (x + 1/2) = 100, we need to follow a step-by-step process.
1. Distribute the 5/8 to the terms inside the parentheses:
(5/8) * x + (5/8) * (1/2) = 100
This simplifies to: 5/8 * x + 5/16 = 100
2. Multiply the denominators to get a common denominator:
Multiply 8 and 16 = 128
The equation becomes: (5/8) * x + (5/16) * x = 100
3. Multiply each term by the common denominator (128) to eliminate fractions:
128 * (5/8) * x + 128 * (5/16) * x = 128 * 100
Simplify to: 16 * 5x + 8 * 5x = 12800
4. Combine like terms on both sides of the equation:
80x + 40x = 12800
Simplify to: 120x = 12800
5. Divide both sides of the equation by 120 to solve for x:
x = 12800 / 120
Simplify to: x = 106.67
Therefore, the solution to the equation 5/8 (x + 1/2) = 100 is x = 106.67.
5/8 (x + 1/2) = 100
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