Solve? 5x - 3(7x + 5) = 1

5x - 3(7x + 5) = 1

5x - 21x - 15 = 1

-16x = 16

x = -1

Thank you sooo much!

You're very welcome.

To solve the given equation, we will follow a step-by-step method called the distributive property and then simplify the equation.

Step 1: Distribute the -3 to the terms within the parentheses using the distributive property:
5x - 3(7x + 5) = 1
This gives us:
5x - 21x - 15 = 1

Step 2: Combine like terms on the left-hand side of the equation:
(5x - 21x) - 15 = 1
-16x - 15 = 1

Step 3: Isolate the variable term by moving the constant term to the other side of the equation:
-16x - 15 + 15 = 1 + 15
This simplifies to:
-16x = 16

Step 4: Solve for x by dividing both sides of the equation by the coefficient of x, which is -16:
(-16x) / (-16) = 16 / (-16)
The -16s cancel out, and we're left with:
x = -1

Thus, the solution to the equation 5x - 3(7x + 5) = 1 is x = -1.