Solve for x
x=21
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4\left(2x+1\right)-3\left(x-1\right)=2\left(3x-7\right)
Multiply both sides of the equation by 24, the least common multiple of 6,8,12.
8x+4-3\left(x-1\right)=2\left(3x-7\right)
Use the distributive property to multiply 4 by 2x+1.
8x+4-3x+3=2\left(3x-7\right)
Use the distributive property to multiply -3 by x-1.
5x+4+3=2\left(3x-7\right)
Combine 8x and -3x to get 5x.
5x+7=2\left(3x-7\right)
Add 4 and 3 to get 7.
5x+7=6x-14
Use the distributive property to multiply 2 by 3x-7.
5x+7-6x=-14
Subtract 6x from both sides.
-x+7=-14
Combine 5x and -6x to get -x.
-x=-14-7
Subtract 7 from both sides.
-x=-21
Subtract 7 from -14 to get -21.
x=21
Multiply both sides by -1.
Examples
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{ 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}