Solve for x
x=5
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16=4x-4-\left(x-5\right)
Use the distributive property to multiply 4 by x-1.
16=4x-4-x-\left(-5\right)
To find the opposite of x-5, find the opposite of each term.
16=4x-4-x+5
The opposite of -5 is 5.
16=3x-4+5
Combine 4x and -x to get 3x.
16=3x+1
Add -4 and 5 to get 1.
3x+1=16
Swap sides so that all variable terms are on the left hand side.
3x=16-1
Subtract 1 from both sides.
3x=15
Subtract 1 from 16 to get 15.
x=\frac{15}{3}
Divide both sides by 3.
x=5
Divide 15 by 3 to get 5.
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}