Solve for x
x=7
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3\left(x-1\right)-2\left(2x-5\right)=0
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x-3-2\left(2x-5\right)=0
Use the distributive property to multiply 3 by x-1.
3x-3-4x+10=0
Use the distributive property to multiply -2 by 2x-5.
-x-3+10=0
Combine 3x and -4x to get -x.
-x+7=0
Add -3 and 10 to get 7.
-x=-7
Subtract 7 from both sides. Anything subtracted from zero gives its negation.
x=7
Multiply both sides by -1.
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}