Solve for F
F=115x-17
Solve for x
x=\frac{F+17}{115}
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F=7x-10+45x+7\left(9x-1\right)
Use the distributive property to multiply -5 by 2-9x.
F=52x-10+7\left(9x-1\right)
Combine 7x and 45x to get 52x.
F=52x-10+63x-7
Use the distributive property to multiply 7 by 9x-1.
F=115x-10-7
Combine 52x and 63x to get 115x.
F=115x-17
Subtract 7 from -10 to get -17.
F=7x-10+45x+7\left(9x-1\right)
Use the distributive property to multiply -5 by 2-9x.
F=52x-10+7\left(9x-1\right)
Combine 7x and 45x to get 52x.
F=52x-10+63x-7
Use the distributive property to multiply 7 by 9x-1.
F=115x-10-7
Combine 52x and 63x to get 115x.
F=115x-17
Subtract 7 from -10 to get -17.
115x-17=F
Swap sides so that all variable terms are on the left hand side.
115x=F+17
Add 17 to both sides.
\frac{115x}{115}=\frac{F+17}{115}
Divide both sides by 115.
x=\frac{F+17}{115}
Dividing by 115 undoes the multiplication by 115.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}