Solve for A
A=\frac{B+X}{2}
Solve for B
B=-\left(X-2A\right)
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X+4A=3X+2B
Swap sides so that all variable terms are on the left hand side.
4A=3X+2B-X
Subtract X from both sides.
4A=2X+2B
Combine 3X and -X to get 2X.
4A=2B+2X
The equation is in standard form.
\frac{4A}{4}=\frac{2B+2X}{4}
Divide both sides by 4.
A=\frac{2B+2X}{4}
Dividing by 4 undoes the multiplication by 4.
A=\frac{B+X}{2}
Divide 2X+2B by 4.
2B=X+4A-3X
Subtract 3X from both sides.
2B=-2X+4A
Combine X and -3X to get -2X.
2B=4A-2X
The equation is in standard form.
\frac{2B}{2}=\frac{4A-2X}{2}
Divide both sides by 2.
B=\frac{4A-2X}{2}
Dividing by 2 undoes the multiplication by 2.
B=2A-X
Divide -2X+4A by 2.
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