Solve for x
x = -\frac{13}{2} = -6\frac{1}{2} = -6.5
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3\left(2x-3\right)-4\left(2-x\right)=12x-4
Multiply both sides of the equation by 12, the least common multiple of 4,3.
6x-9-4\left(2-x\right)=12x-4
Use the distributive property to multiply 3 by 2x-3.
6x-9-8+4x=12x-4
Use the distributive property to multiply -4 by 2-x.
6x-17+4x=12x-4
Subtract 8 from -9 to get -17.
10x-17=12x-4
Combine 6x and 4x to get 10x.
10x-17-12x=-4
Subtract 12x from both sides.
-2x-17=-4
Combine 10x and -12x to get -2x.
-2x=-4+17
Add 17 to both sides.
-2x=13
Add -4 and 17 to get 13.
x=\frac{13}{-2}
Divide both sides by -2.
x=-\frac{13}{2}
Fraction \frac{13}{-2} can be rewritten as -\frac{13}{2} by extracting the negative sign.
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}