Solve for x
x=8
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4-2x-\left(-5\right)-3\left(8-3x\right)=41
To find the opposite of 2x-5, find the opposite of each term.
4-2x+5-3\left(8-3x\right)=41
The opposite of -5 is 5.
9-2x-3\left(8-3x\right)=41
Add 4 and 5 to get 9.
9-2x-24+9x=41
Use the distributive property to multiply -3 by 8-3x.
-15-2x+9x=41
Subtract 24 from 9 to get -15.
-15+7x=41
Combine -2x and 9x to get 7x.
7x=41+15
Add 15 to both sides.
7x=56
Add 41 and 15 to get 56.
x=\frac{56}{7}
Divide both sides by 7.
x=8
Divide 56 by 7 to get 8.
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}