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Let’s check out your problem:
Solve for
x
\mathrm{x}
x
in simplest form.
\newline
9
=
1
3
(
2
x
+
6
)
9=\frac{1}{3}(2 x+6)
9
=
3
1
(
2
x
+
6
)
\newline
Answer:
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Home
Math Problems
Algebra 1
Solve multi-step linear equations
Full solution
Q.
Solve for
x
\mathrm{x}
x
in simplest form.
\newline
9
=
1
3
(
2
x
+
6
)
9=\frac{1}{3}(2 x+6)
9
=
3
1
(
2
x
+
6
)
\newline
Answer:
Multiply to eliminate fraction:
Simplify the equation by multiplying both sides by
3
3
3
to eliminate the
fraction
.
\newline
3
×
9
=
3
×
(
1
3
)
(
2
x
+
6
)
3 \times 9 = 3 \times \left(\frac{1}{3}\right)(2x + 6)
3
×
9
=
3
×
(
3
1
)
(
2
x
+
6
)
\newline
27
=
2
x
+
6
27 = 2x + 6
27
=
2
x
+
6
Subtract to isolate x term:
Subtract
6
6
6
from both sides to isolate the term with
x
x
x
.
\newline
27
−
6
=
2
x
+
6
−
6
27 - 6 = 2x + 6 - 6
27
−
6
=
2
x
+
6
−
6
\newline
21
=
2
x
21 = 2x
21
=
2
x
Divide to solve for x:
Divide both sides by
2
2
2
to solve for
x
x
x
.
21
2
=
2
x
2
\frac{21}{2} = \frac{2x}{2}
2
21
=
2
2
x
10.5
=
x
10.5 = x
10.5
=
x
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