Solve for x
x=5
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-6x-8+4\left(3x-4\right)=-\left(-5x+4\right)-3x
Use the distributive property to multiply -2 by 3x+4.
-6x-8+12x-16=-\left(-5x+4\right)-3x
Use the distributive property to multiply 4 by 3x-4.
6x-8-16=-\left(-5x+4\right)-3x
Combine -6x and 12x to get 6x.
6x-24=-\left(-5x+4\right)-3x
Subtract 16 from -8 to get -24.
6x-24=-\left(-5x\right)-4-3x
To find the opposite of -5x+4, find the opposite of each term.
6x-24=5x-4-3x
The opposite of -5x is 5x.
6x-24=2x-4
Combine 5x and -3x to get 2x.
6x-24-2x=-4
Subtract 2x from both sides.
4x-24=-4
Combine 6x and -2x to get 4x.
4x=-4+24
Add 24 to both sides.
4x=20
Add -4 and 24 to get 20.
x=\frac{20}{4}
Divide both sides by 4.
x=5
Divide 20 by 4 to get 5.
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}