3 ( 2 x + 3 ) - 4 ( x - 1 ) = 3 ( R
Solve for R
R=\frac{2x+13}{3}
Solve for x
x=\frac{3R-13}{2}
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6x+9-4\left(x-1\right)=3R
Use the distributive property to multiply 3 by 2x+3.
6x+9-4x+4=3R
Use the distributive property to multiply -4 by x-1.
2x+9+4=3R
Combine 6x and -4x to get 2x.
2x+13=3R
Add 9 and 4 to get 13.
3R=2x+13
Swap sides so that all variable terms are on the left hand side.
\frac{3R}{3}=\frac{2x+13}{3}
Divide both sides by 3.
R=\frac{2x+13}{3}
Dividing by 3 undoes the multiplication by 3.
6x+9-4\left(x-1\right)=3R
Use the distributive property to multiply 3 by 2x+3.
6x+9-4x+4=3R
Use the distributive property to multiply -4 by x-1.
2x+9+4=3R
Combine 6x and -4x to get 2x.
2x+13=3R
Add 9 and 4 to get 13.
2x=3R-13
Subtract 13 from both sides.
\frac{2x}{2}=\frac{3R-13}{2}
Divide both sides by 2.
x=\frac{3R-13}{2}
Dividing by 2 undoes the multiplication by 2.
Examples
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{ 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}