Solve for x
x = \frac{172}{7} = 24\frac{4}{7} \approx 24.571428571
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Linear Equation
5 problems similar to:
\frac { 2 x + 2 x + 3 x } { 2 } + 2 ^ { 2 } = 90 ^ { \circ }
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2x+2x+3x+2\times 2^{2}=180
Multiply both sides of the equation by 2.
2x+2x+3x+2^{3}=180
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
4x+3x+2^{3}=180
Combine 2x and 2x to get 4x.
7x+2^{3}=180
Combine 4x and 3x to get 7x.
7x+8=180
Calculate 2 to the power of 3 and get 8.
7x=180-8
Subtract 8 from both sides.
7x=172
Subtract 8 from 180 to get 172.
x=\frac{172}{7}
Divide both sides by 7.
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}