Skip to main content
Solve for x (complex solution)
Tick mark Image
Solve for x
Tick mark Image
Solve for a
Tick mark Image
Graph

Similar Problems from Web Search

Share

-4\left(x+2a\right)-\left(a-2\right)x=2a\left(a-2\right)
Multiply both sides of the equation by 4a\left(a-2\right), the least common multiple of 2a-a^{2},4a,2.
-4x-8a-\left(a-2\right)x=2a\left(a-2\right)
Use the distributive property to multiply -4 by x+2a.
-4x-8a-\left(ax-2x\right)=2a\left(a-2\right)
Use the distributive property to multiply a-2 by x.
-4x-8a-ax+2x=2a\left(a-2\right)
To find the opposite of ax-2x, find the opposite of each term.
-2x-8a-ax=2a\left(a-2\right)
Combine -4x and 2x to get -2x.
-2x-8a-ax=2a^{2}-4a
Use the distributive property to multiply 2a by a-2.
-2x-ax=2a^{2}-4a+8a
Add 8a to both sides.
-2x-ax=2a^{2}+4a
Combine -4a and 8a to get 4a.
\left(-2-a\right)x=2a^{2}+4a
Combine all terms containing x.
\left(-a-2\right)x=2a^{2}+4a
The equation is in standard form.
\frac{\left(-a-2\right)x}{-a-2}=\frac{2a\left(a+2\right)}{-a-2}
Divide both sides by -2-a.
x=\frac{2a\left(a+2\right)}{-a-2}
Dividing by -2-a undoes the multiplication by -2-a.
x=-2a
Divide 2a\left(2+a\right) by -2-a.
-4\left(x+2a\right)-\left(a-2\right)x=2a\left(a-2\right)
Multiply both sides of the equation by 4a\left(a-2\right), the least common multiple of 2a-a^{2},4a,2.
-4x-8a-\left(a-2\right)x=2a\left(a-2\right)
Use the distributive property to multiply -4 by x+2a.
-4x-8a-\left(ax-2x\right)=2a\left(a-2\right)
Use the distributive property to multiply a-2 by x.
-4x-8a-ax+2x=2a\left(a-2\right)
To find the opposite of ax-2x, find the opposite of each term.
-2x-8a-ax=2a\left(a-2\right)
Combine -4x and 2x to get -2x.
-2x-8a-ax=2a^{2}-4a
Use the distributive property to multiply 2a by a-2.
-2x-ax=2a^{2}-4a+8a
Add 8a to both sides.
-2x-ax=2a^{2}+4a
Combine -4a and 8a to get 4a.
\left(-2-a\right)x=2a^{2}+4a
Combine all terms containing x.
\left(-a-2\right)x=2a^{2}+4a
The equation is in standard form.
\frac{\left(-a-2\right)x}{-a-2}=\frac{2a\left(a+2\right)}{-a-2}
Divide both sides by -2-a.
x=\frac{2a\left(a+2\right)}{-a-2}
Dividing by -2-a undoes the multiplication by -2-a.
x=-2a
Divide 2a\left(2+a\right) by -2-a.