Solve for x
x=7
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2\left(x+1\right)-4=8-\left(3-x\right)
Multiply both sides of the equation by 4, the least common multiple of 2,4.
2x+2-4=8-\left(3-x\right)
Use the distributive property to multiply 2 by x+1.
2x-2=8-\left(3-x\right)
Subtract 4 from 2 to get -2.
2x-2=8-3-\left(-x\right)
To find the opposite of 3-x, find the opposite of each term.
2x-2=8-3+x
The opposite of -x is x.
2x-2=5+x
Subtract 3 from 8 to get 5.
2x-2-x=5
Subtract x from both sides.
x-2=5
Combine 2x and -x to get x.
x=5+2
Add 2 to both sides.
x=7
Add 5 and 2 to get 7.
Examples
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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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