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Let’s check out your problem:
Solve for
x
\mathrm{x}
x
in simplest form.
\newline
13
=
1
2
(
5
x
+
8
)
13=\frac{1}{2}(5 x+8)
13
=
2
1
(
5
x
+
8
)
\newline
Answer:
View step-by-step help
Home
Math Problems
Algebra 1
Solve multi-step linear equations
Full solution
Q.
Solve for
x
\mathrm{x}
x
in simplest form.
\newline
13
=
1
2
(
5
x
+
8
)
13=\frac{1}{2}(5 x+8)
13
=
2
1
(
5
x
+
8
)
\newline
Answer:
Write Equation:
Write down the equation given by the problem.
\newline
13
=
1
2
(
5
x
+
8
)
13 = \frac{1}{2}(5x + 8)
13
=
2
1
(
5
x
+
8
)
Eliminate Fraction:
To get rid of the
fraction
, multiply both sides of the equation by
2
2
2
.
\newline
2
×
13
=
2
×
(
1
2
)
(
5
x
+
8
)
2 \times 13 = 2 \times \left(\frac{1}{2}\right)(5x + 8)
2
×
13
=
2
×
(
2
1
)
(
5
x
+
8
)
\newline
26
=
5
x
+
8
26 = 5x + 8
26
=
5
x
+
8
Isolate x Term:
Subtract
8
8
8
from both sides to isolate the term with
x
x
x
.
\newline
26
−
8
=
5
x
+
8
−
8
26 - 8 = 5x + 8 - 8
26
−
8
=
5
x
+
8
−
8
\newline
18
=
5
x
18 = 5x
18
=
5
x
Solve for x:
Divide both sides by
5
5
5
to solve for x.
\newline
18
5
=
5
x
5
\frac{18}{5} = \frac{5x}{5}
5
18
=
5
5
x
\newline
x
=
18
5
x = \frac{18}{5}
x
=
5
18
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