Solve for x . 4(1+3x)=5(x−2) This question requires you to show your work. (1 point) Responses x=7 x is equal to 7 x=2 x is equal to 2 x=−2 x is equal to negative 2 x=3
To solve for x, we can start by distributing the terms on the right side of the equation:
4(1 + 3x) = 5(x - 2)
4 + 12x = 5x - 10
Next, we can isolate the variable terms on one side of the equation by subtracting 5x from both sides:
4 - 5x + 12x = -10
- x + 4 = -10
Now, we can isolate the variable term by subtracting 4 from both sides:
- x + 4 - 4 = -10 - 4
- x = -14
Finally, to solve for x, we can multiply both sides by -1 to eliminate the negative sign:
-1 * -x = -1 * -14
x = 14
Therefore, the solution is x = 14.