Solve for a
a=2-2x
Solve for x
x=-\frac{a}{2}+1
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a+2x+5=7
The opposite of -2x is 2x.
a+5=7-2x
Subtract 2x from both sides.
a=7-2x-5
Subtract 5 from both sides.
a=2-2x
Subtract 5 from 7 to get 2.
a+2x+5=7
The opposite of -2x is 2x.
2x+5=7-a
Subtract a from both sides.
2x=7-a-5
Subtract 5 from both sides.
2x=2-a
Subtract 5 from 7 to get 2.
\frac{2x}{2}=\frac{2-a}{2}
Divide both sides by 2.
x=\frac{2-a}{2}
Dividing by 2 undoes the multiplication by 2.
x=-\frac{a}{2}+1
Divide 2-a by 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}