Question
Solve for x.
minus, 2, left parenthesis, 3, x, minus, 3, right parenthesis, plus, 4, x, minus, 4, equals, 0
−2(3x−3)+4x−4=
0
minus, 2, left parenthesis, 3, x, minus, 3, right parenthesis, plus, 4, x, minus, 4, equals, 0
−2(3x−3)+4x−4=
0
Answers
GPT-4o mini
To solve the equation \(-2(3x - 3) + 4x - 4 = 0\), we will first distribute the \(-2\) and then combine like terms.
1. Distribute \(-2\) into the parenthesis:
\[
-2(3x) + 2(3) + 4x - 4 = 0
\]
\[
-6x + 6 + 4x - 4 = 0
\]
2. Combine like terms:
\[
(-6x + 4x) + (6 - 4) = 0
\]
\[
-2x + 2 = 0
\]
3. Now, isolate \(x\):
\[
-2x = -2
\]
4. Divide by \(-2\):
\[
x = 1
\]
Thus, the solution is:
\[
\boxed{1}
\]
1. Distribute \(-2\) into the parenthesis:
\[
-2(3x) + 2(3) + 4x - 4 = 0
\]
\[
-6x + 6 + 4x - 4 = 0
\]
2. Combine like terms:
\[
(-6x + 4x) + (6 - 4) = 0
\]
\[
-2x + 2 = 0
\]
3. Now, isolate \(x\):
\[
-2x = -2
\]
4. Divide by \(-2\):
\[
x = 1
\]
Thus, the solution is:
\[
\boxed{1}
\]