( x _ { 1 } + 12 = \frac { 1 } { 2 } ( 2 x + 14 )
Solve for x
x=x_{1}+5
Solve for x_1
x_{1}=x-5
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x_{1}+12=x+7
Use the distributive property to multiply \frac{1}{2} by 2x+14.
x+7=x_{1}+12
Swap sides so that all variable terms are on the left hand side.
x=x_{1}+12-7
Subtract 7 from both sides.
x=x_{1}+5
Subtract 7 from 12 to get 5.
x_{1}+12=x+7
Use the distributive property to multiply \frac{1}{2} by 2x+14.
x_{1}=x+7-12
Subtract 12 from both sides.
x_{1}=x-5
Subtract 12 from 7 to get -5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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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