answer:
To solve for x in the equation 8x + 8(x - 6) = 4 + 7(4x + 5), we can follow these steps:
1. Distribute the 8 to both terms inside the parentheses on the left side of the equation:
8x + 8x - 48 = 4 + 7(4x + 5).
2. Simplify both sides of the equation:
16x - 48 = 4 + 28x + 35.
3. Combine like terms on the right side of the equation:
16x - 48 = 28x + 39.
4. Move all terms containing x to one side of the equation by subtracting 28x from both sides and adding 48 to both sides:
16x - 28x = 39 + 48.
5. Simplify both sides:
-12x = 87.
6. Divide both sides by -12 to solve for x:
x = 87 / -12.
7. Simplify the fraction if possible:
The numerator, 87, and the denominator, -12, have a common factor of -3. Divide both numbers by -3 to simplify the fraction:
x = -29/4.
Therefore, the solution to the equation 8x + 8(x - 6) = 4 + 7(4x + 5) is x = -29/4.
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