Solve for x
x = \frac{3}{2} = 1\frac{1}{2} = 1.5
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2x-4-3=-2\left(2x-1\right)
Use the distributive property to multiply 2 by x-2.
2x-7=-2\left(2x-1\right)
Subtract 3 from -4 to get -7.
2x-7=-4x+2
Use the distributive property to multiply -2 by 2x-1.
2x-7+4x=2
Add 4x to both sides.
6x-7=2
Combine 2x and 4x to get 6x.
6x=2+7
Add 7 to both sides.
6x=9
Add 2 and 7 to get 9.
x=\frac{9}{6}
Divide both sides by 6.
x=\frac{3}{2}
Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.
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}