Solve for X
15-(3x-8) = 4x-5(3x-7)-25
15-(3x-8) = 4x-5(3x-7)-25
expand it first
15 - 3x + 8 = 4x - 15x + 35 - 25
now it should be easy.
after you find your x, sub it back into the original equation and evaluate the left side and the right side.
You must get the same result.
To solve for x in the equation 15-(3x-8) = 4x-5(3x-7)-25, we will follow these steps:
Step 1: Simplify the expressions on both sides of the equation.
15 - (3x - 8) can be simplified by removing the parentheses, which gives us 15 - 3x + 8.
Similarly, on the right side of the equation, we distribute -5 to (3x - 7), giving us -15x + 35.
After simplifying both sides, the equation becomes:
15 - 3x + 8 = 4x - 15x + 35 - 25.
Step 2: Combine like terms.
On the left side, add 15 and 8 to get 23, so the equation becomes:
23 - 3x = 4x - 15x + 35 - 25.
On the right side, combine the x terms: 4x - 15x = -11x.
Combine the constants: 35 - 25 = 10.
Now, the equation becomes: 23 - 3x = -11x + 10.
Step 3: Move all the x terms to one side of the equation.
To do this, subtract -11x from both sides:
23 - 3x + 11x = -11x + 10 + 11x.
This simplifies to: 23 + 8x = 10.
Step 4: Isolate the x term.
To isolate the x term, subtract 23 from both sides:
23 + 8x - 23 = 10 - 23.
This simplifies to: 8x = -13.
Step 5: Solve for x.
To solve for x, divide both sides by 8:
(8x) / 8 = (-13) / 8.
This simplifies to: x = -13/8.
Therefore, the solution to the equation is x = -13/8.