Solve for x
x = -\frac{3}{2} = -1\frac{1}{2} = -1.5
Graph
Share
Copied to clipboard
8x-2-\left(4x-5\right)+3=0
Use the distributive property to multiply 2 by 4x-1.
8x-2-4x-\left(-5\right)+3=0
To find the opposite of 4x-5, find the opposite of each term.
8x-2-4x+5+3=0
The opposite of -5 is 5.
4x-2+5+3=0
Combine 8x and -4x to get 4x.
4x+3+3=0
Add -2 and 5 to get 3.
4x+6=0
Add 3 and 3 to get 6.
4x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-6}{4}
Divide both sides by 4.
x=-\frac{3}{2}
Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.
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}