Solve for x
x = \frac{35}{4} = 8\frac{3}{4} = 8.75
Graph
Share
Copied to clipboard
-2\left(2x-3\times 5\right)=-5
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-3\right), the least common multiple of 3-x,2x-6.
-2\left(2x-15\right)=-5
Multiply 3 and 5 to get 15.
-4x+30=-5
Use the distributive property to multiply -2 by 2x-15.
-4x=-5-30
Subtract 30 from both sides.
-4x=-35
Subtract 30 from -5 to get -35.
x=\frac{-35}{-4}
Divide both sides by -4.
x=\frac{35}{4}
Fraction \frac{-35}{-4} can be simplified to \frac{35}{4} 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}