Solve for x
x=-5
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x-7-\frac{6}{5}x=-6
Subtract \frac{6}{5}x from both sides.
-\frac{1}{5}x-7=-6
Combine x and -\frac{6}{5}x to get -\frac{1}{5}x.
-\frac{1}{5}x=-6+7
Add 7 to both sides.
-\frac{1}{5}x=1
Add -6 and 7 to get 1.
x=1\left(-5\right)
Multiply both sides by -5, the reciprocal of -\frac{1}{5}.
x=-5
Multiply 1 and -5 to get -5.
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
Arithmetic
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}