2(a-4)+15=13
Please show step by step
2(a-4)=-2
a-4=-1
a=3
2(a-4)+15=13
2a - 8 + 15 = 13
2a + 7 = 13
2a + 7 - 7 = 13 - 7
2a = 6
a = 6/2
a = 3
Sure! I'll be happy to help you solve the equation step by step.
Step 1: Start by simplifying both sides of the equation.
On the left side, apply the distributive property to the term 2(a - 4):
2(a - 4) = 2 * a - 2 * 4 = 2a - 8
So, the equation becomes:
2a - 8 + 15 = 13
Step 2: Combine like terms on the left side of the equation.
2a - 8 + 15 can be simplified to:
2a + 7
So, the equation becomes:
2a + 7 = 13
Step 3: Now, isolate the variable term on one side of the equation.
To do this, subtract 7 from both sides of the equation:
2a + 7 - 7 = 13 - 7
This simplifies to:
2a = 6
Step 4: Finally, solve for the variable by dividing both sides of the equation by 2:
2a / 2 = 6 / 2
This gives us:
a = 3
So, the solution to the equation 2(a - 4) + 15 = 13 is a = 3.