5-3(x-2)+8=10

Answer 1

To solve the equation 5-3(x-2)+8=10, we can follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

First, simplify inside the parentheses:
x - 2

Next, simplify the multiplication:
-3(x-2) = -3x + 6

Now, rewrite the equation with the simplified terms:
5 - 3x + 6 + 8 = 10

Combine like terms:
19 - 3x = 10

Next, isolate the variable by moving the constant term to the other side of the equation:
-3x = 10 - 19
-3x = -9

Finally, solve for x by dividing both sides of the equation by -3:
x = -9 / -3
x = 3

Therefore, the solution to the equation 5-3(x-2)+8=10 is x = 3.