Solve for x
x = \frac{9}{2} = 4\frac{1}{2} = 4.5
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10\left(4x-9\right)-4\left(3x-7\right)=25\left(2x-1\right)-2\left(12x+14\right)
Multiply both sides of the equation by 100, the least common multiple of 10,25,4,50.
40x-90-4\left(3x-7\right)=25\left(2x-1\right)-2\left(12x+14\right)
Use the distributive property to multiply 10 by 4x-9.
40x-90-12x+28=25\left(2x-1\right)-2\left(12x+14\right)
Use the distributive property to multiply -4 by 3x-7.
28x-90+28=25\left(2x-1\right)-2\left(12x+14\right)
Combine 40x and -12x to get 28x.
28x-62=25\left(2x-1\right)-2\left(12x+14\right)
Add -90 and 28 to get -62.
28x-62=50x-25-2\left(12x+14\right)
Use the distributive property to multiply 25 by 2x-1.
28x-62=50x-25-24x-28
Use the distributive property to multiply -2 by 12x+14.
28x-62=26x-25-28
Combine 50x and -24x to get 26x.
28x-62=26x-53
Subtract 28 from -25 to get -53.
28x-62-26x=-53
Subtract 26x from both sides.
2x-62=-53
Combine 28x and -26x to get 2x.
2x=-53+62
Add 62 to both sides.
2x=9
Add -53 and 62 to get 9.
x=\frac{9}{2}
Divide both sides by 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}