Solve this equation
3(a+2)+5=2a+4
3(a+2)+5=2a+4
3a + 6 = 2a + 4
3a - 2a = 4 - 6
a = -2
To solve the equation 3(a+2)+5=2a+4, we need to simplify the expression on both sides and isolate the variable.
Step 1: Distribute the 3 to the terms inside the parentheses on the left side of the equation:
3(a+2) + 5 = 2a + 4
3a + 6 + 5 = 2a + 4
Step 2: Combine like terms on both sides of the equation:
3a + 11 = 2a + 4
Step 3: Move all the terms with 'a' to one side of the equation and the constants to the other side. To do this, we need to subtract 2a from both sides:
3a - 2a + 11 = 2a - 2a + 4
a + 11 = 4
Step 4: Finally, isolate the variable 'a' by subtracting 11 from both sides:
a + 11 - 11 = 4 - 11
a = -7
Therefore, the solution to the equation 3(a+2)+5=2a+4 is a = -7.