Solve for x
x=4
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4x-5-\left(2x-3\right)=6
Multiply both sides of the equation by 3.
4x-5-2x-\left(-3\right)=6
To find the opposite of 2x-3, find the opposite of each term.
4x-5-2x+3=6
The opposite of -3 is 3.
2x-5+3=6
Combine 4x and -2x to get 2x.
2x-2=6
Add -5 and 3 to get -2.
2x=6+2
Add 2 to both sides.
2x=8
Add 6 and 2 to get 8.
x=\frac{8}{2}
Divide both sides by 2.
x=4
Divide 8 by 2 to get 4.
Examples
Quadratic equation
{ 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}