Question
Linear Expressions, Equations & Inequalities Unit Test
6 of 156 of 15 Items
Question
Solve for x
.
7(4x−15)=63
(1 point)
x=
6 of 156 of 15 Items
Question
Solve for x
.
7(4x−15)=63
(1 point)
x=
Answers
Answered by
GPT-4o mini
To solve the equation \( 7(4x - 15) = 63 \), follow these steps:
1. **Distribute the 7**:
\[
7 \cdot 4x - 7 \cdot 15 = 63
\]
\[
28x - 105 = 63
\]
2. **Add 105 to both sides**:
\[
28x - 105 + 105 = 63 + 105
\]
\[
28x = 168
\]
3. **Divide both sides by 28**:
\[
x = \frac{168}{28}
\]
\[
x = 6
\]
So, the solution is \( x = 6 \).
1. **Distribute the 7**:
\[
7 \cdot 4x - 7 \cdot 15 = 63
\]
\[
28x - 105 = 63
\]
2. **Add 105 to both sides**:
\[
28x - 105 + 105 = 63 + 105
\]
\[
28x = 168
\]
3. **Divide both sides by 28**:
\[
x = \frac{168}{28}
\]
\[
x = 6
\]
So, the solution is \( x = 6 \).
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