Solve the equation for x
-6x + 3 =7 (X+6)
multiply out the parenthesis.
add 6x to each side.
subtract 42 from each side
then, finally, divide each side by 13.
what would be the final answer
To solve the equation -6x + 3 = 7(x+6) for x, we will follow the steps below:
Step 1: Distribute the number 7 to both terms inside the parentheses on the right side of the equation:
-6x + 3 = 7x + 42
Step 2: Combine like terms. In this case, we have -6x and 7x:
-6x - 7x + 3 = 42
Step 3: Simplify the equation by combining the x-terms:
-13x + 3 = 42
Step 4: Isolate the variable term by subtracting 3 from both sides of the equation:
-13x = 42 - 3
-13x = 39
Step 5: Solve for x by dividing both sides of the equation by -13:
x = 39 / -13
x = -3
Therefore, the solution to the equation -6x + 3 = 7(x+6) is x = -3.