Solve for x
x=-\frac{1}{8}=-0.125
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4\left(5x-2\right)-3\left(4x-3\right)=0
Multiply both sides of the equation by 12, the least common multiple of 3,4.
20x-8-3\left(4x-3\right)=0
Use the distributive property to multiply 4 by 5x-2.
20x-8-12x+9=0
Use the distributive property to multiply -3 by 4x-3.
8x-8+9=0
Combine 20x and -12x to get 8x.
8x+1=0
Add -8 and 9 to get 1.
8x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1}{8}
Divide both sides by 8.
x=-\frac{1}{8}
Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.
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}