Solve for x:
3 (2 x-6) = 4 x+8
Write the linear polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
6 x-18 = 4 x+8
Move terms with x to the left hand side.
Subtract 4 x from both sides:
(6 x-4 x)-18 = (4 x-4 x)+8
Combine like terms in 6 x-4 x.
6 x-4 x = 2 x:
2 x-18 = (4 x-4 x)+8
Look for two terms that sum to zero.
4 x-4 x = 0:
2 x-18 = 8
Isolate terms with x to the left hand side.
Add 18 to both sides:
2 x+(18-18) = 8+18
Look for two terms that sum to zero.
18-18 = 0:
2 x = 8+18
Evaluate 8+18.
8+18 = 26:
2 x = 26
Divide both sides by a constant to simplify the equation.
Divide both sides of 2 x = 26 by 2:
(2 x)/2 = 26/2
Any nonzero number divided by itself is one.
2/2 = 1:
x = 26/2
Reduce 26/2 to lowest terms. Start by finding the GCD of 26 and 2.
The gcd of 26 and 2 is 2, so 26/2 = (2×13)/(2×1) = 2/2×13 = 13:
Answer: |
| x = 13
