Solve for x
x = \frac{7}{5} = 1\frac{2}{5} = 1.4
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6x-3-2\left(x-3\right)=5-\left(x-5\right)
Use the distributive property to multiply 3 by 2x-1.
6x-3-2x+6=5-\left(x-5\right)
Use the distributive property to multiply -2 by x-3.
4x-3+6=5-\left(x-5\right)
Combine 6x and -2x to get 4x.
4x+3=5-\left(x-5\right)
Add -3 and 6 to get 3.
4x+3=5-x-\left(-5\right)
To find the opposite of x-5, find the opposite of each term.
4x+3=5-x+5
The opposite of -5 is 5.
4x+3=10-x
Add 5 and 5 to get 10.
4x+3+x=10
Add x to both sides.
5x+3=10
Combine 4x and x to get 5x.
5x=10-3
Subtract 3 from both sides.
5x=7
Subtract 3 from 10 to get 7.
x=\frac{7}{5}
Divide both sides by 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}