Solve for x
x = -\frac{27}{13} = -2\frac{1}{13} \approx -2.076923077
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2x-15x-35+8=0
Use the distributive property to multiply -5 by 3x+7.
-13x-35+8=0
Combine 2x and -15x to get -13x.
-13x-27=0
Add -35 and 8 to get -27.
-13x=27
Add 27 to both sides. Anything plus zero gives itself.
x=\frac{27}{-13}
Divide both sides by -13.
x=-\frac{27}{13}
Fraction \frac{27}{-13} can be rewritten as -\frac{27}{13} by extracting the negative sign.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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