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Let’s check out your problem:
Solve for
x
\mathrm{x}
x
in simplest form.
\newline
10
=
5
6
(
4
x
+
18
)
10=\frac{5}{6}(4 x+18)
10
=
6
5
(
4
x
+
18
)
\newline
Answer:
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Math Problems
Algebra 2
Write a formula for an arithmetic sequence
Full solution
Q.
Solve for
x
\mathrm{x}
x
in simplest form.
\newline
10
=
5
6
(
4
x
+
18
)
10=\frac{5}{6}(4 x+18)
10
=
6
5
(
4
x
+
18
)
\newline
Answer:
Identify Equation:
Identify the equation to solve for
x
x
x
. The given equation is
10
=
(
5
6
)
(
4
x
+
18
)
10 = \left(\frac{5}{6}\right)(4x + 18)
10
=
(
6
5
)
(
4
x
+
18
)
.
Multiply by
6
6
6
:
Multiply both sides of the equation by
6
6
6
to eliminate the
fraction
on the right side. This gives us
60
=
5
(
4
x
+
18
)
60 = 5(4x + 18)
60
=
5
(
4
x
+
18
)
.
Divide by
5
5
5
:
Divide both sides of the equation by
5
5
5
to isolate the term with
x
x
x
. This results in
12
=
4
x
+
18
12 = 4x + 18
12
=
4
x
+
18
.
Subtract
18
18
18
:
Subtract
18
18
18
from both sides of the equation to get
4
x
4x
4
x
by itself. This gives us
−
6
=
4
x
-6 = 4x
−
6
=
4
x
.
Divide by
4
4
4
:
Divide both sides of the equation by
4
4
4
to solve for
x
x
x
. This results in
x
=
−
6
4
x = -\frac{6}{4}
x
=
−
4
6
.
Simplify Fraction:
Simplify the fraction
−
6
4
-\frac{6}{4}
−
4
6
to its simplest form. The simplest form is
x
=
−
3
2
x = -\frac{3}{2}
x
=
−
2
3
.
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