Solve for a
a=6
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-2+4a=4\left(\frac{5}{4}a-2\right)
Use the distributive property to multiply -2 by 1-2a.
-2+4a=4\times \frac{5}{4}a-8
Use the distributive property to multiply 4 by \frac{5}{4}a-2.
-2+4a=5a-8
Cancel out 4 and 4.
-2+4a-5a=-8
Subtract 5a from both sides.
-2-a=-8
Combine 4a and -5a to get -a.
-a=-8+2
Add 2 to both sides.
-a=-6
Add -8 and 2 to get -6.
a=6
Multiply both sides by -1.
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}