Final answer:
To solve the equation x - 3(5x - 6) = 3 - 10x, distribute the -3, combine like terms, and isolate the variable x by adding 10x to both sides and then subtracting 18, finally dividing by -4 to get x = 3.75.
Step-by-step explanation:
To find the value of x in the equation x - 3(5x - 6) = 3 - 10x, we first need to simplify and solve for x.
- Distribute the -3 across the parentheses: x - 3*5x + 3*6 = 3 - 10x, which simplifies to x - 15x + 18 = 3 - 10x.
- Combine like terms on the left side: (1x - 15x) + 18 = 3 - 10x, which simplifies to -14x + 18 = 3 - 10x.
- Add 10x to both sides to get all x terms on one side: -14x + 10x + 18 = 3, which simplifies to -4x + 18 = 3.
- Subtract 18 from both sides to isolate the x term: -4x = 3 - 18, which simplifies to -4x = -15.
- Divide both sides by -4 to solve for x: x = (-15) / (-4), or x = 3.75.
So, the solution to the equation is x = 3.75.