Question

8×(x+17)+3×(3x-6)=288

Answer 1

8x+136+9x-18=288.17x=170.x=10

Answer 2

To solve for the value of "x" in the equation 8×(x+17)+3×(3x-6)=288, you'll need to follow these steps:

1. Distribute the multiplication on both sides of the equation:

8(x+17) + 3(3x-6) = 288

Now, apply the distributive property to each term inside the parentheses:

8x + 8(17) + 3(3x) - 3(6) = 288

2. Simplify the equation by performing the multiplications:

8x + 136 + 9x - 18 = 288

3. Combine like terms on the left side of the equation:

(8x + 9x) + (136 - 18) = 288

17x + 118 = 288

4. Isolate the variable "x" by moving the constant term (118) to the other side of the equation by subtracting it from both sides:

17x = 288 - 118

17x = 170

5. Finally, solve for "x" by dividing both sides by 17:

x = 170 / 17

x = 10

So, the solution to the equation is x = 10.