-(4a-8)%3D7.jpeg "(2a+3)-(4a-8)=7")
Solving the Equation: (2a+3)-(4a-8)=7
This article will guide you through the steps of solving the equation (2a+3)-(4a-8)=7.
Understanding the Equation
The equation is a linear equation, meaning it involves a variable (in this case, 'a') raised to the power of 1. To solve for 'a', we need to isolate it on one side of the equation.
Steps to Solve
-
Simplify the equation by distributing the negative sign:
(2a + 3) - (4a - 8) = 7 2a + 3 - 4a + 8 = 7
-
Combine like terms:
(2a - 4a) + (3 + 8) = 7 -2a + 11 = 7
-
Isolate the 'a' term by subtracting 11 from both sides:
-2a + 11 - 11 = 7 - 11 -2a = -4
-
Solve for 'a' by dividing both sides by -2:
-2a / -2 = -4 / -2 a = 2
Solution
Therefore, the solution to the equation (2a+3)-(4a-8)=7 is a = 2.
Verification
We can verify our answer by substituting 'a' with 2 in the original equation:
(2 * 2 + 3) - (4 * 2 - 8) = 7 (4 + 3) - (8 - 8) = 7 7 - 0 = 7 7 = 7
Since the left-hand side equals the right-hand side, our solution is verified.