Solve for x
x=1
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2\left(2x-1\right)-5\left(x-2\right)=7x
Multiply both sides of the equation by 10, the least common multiple of 5,2.
4x-2-5\left(x-2\right)=7x
Use the distributive property to multiply 2 by 2x-1.
4x-2-5x+10=7x
Use the distributive property to multiply -5 by x-2.
-x-2+10=7x
Combine 4x and -5x to get -x.
-x+8=7x
Add -2 and 10 to get 8.
-x+8-7x=0
Subtract 7x from both sides.
-8x+8=0
Combine -x and -7x to get -8x.
-8x=-8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-8}{-8}
Divide both sides by -8.
x=1
Divide -8 by -8 to get 1.
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}