Solve for x
x = \frac{189}{79} = 2\frac{31}{79} \approx 2.392405063
Graph
Share
Copied to clipboard
10\left(3x+2\right)-25\left(5x-7\right)=2\left(-8x+3\right)
Multiply both sides of the equation by 50, the least common multiple of 5,2,25.
30x+20-25\left(5x-7\right)=2\left(-8x+3\right)
Use the distributive property to multiply 10 by 3x+2.
30x+20-125x+175=2\left(-8x+3\right)
Use the distributive property to multiply -25 by 5x-7.
-95x+20+175=2\left(-8x+3\right)
Combine 30x and -125x to get -95x.
-95x+195=2\left(-8x+3\right)
Add 20 and 175 to get 195.
-95x+195=-16x+6
Use the distributive property to multiply 2 by -8x+3.
-95x+195+16x=6
Add 16x to both sides.
-79x+195=6
Combine -95x and 16x to get -79x.
-79x=6-195
Subtract 195 from both sides.
-79x=-189
Subtract 195 from 6 to get -189.
x=\frac{-189}{-79}
Divide both sides by -79.
x=\frac{189}{79}
Fraction \frac{-189}{-79} can be simplified to \frac{189}{79} by removing the negative sign from both the numerator and the denominator.
Examples
Quadratic equation
{ 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}