Solve for x
x = -\frac{45}{2} = -22\frac{1}{2} = -22.5
x = \frac{3}{2} = 1\frac{1}{2} = 1.5
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4|\frac{2}{3}x+7|-18=14
Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.
4|\frac{2}{3}x+7|=32
Add 18 to both sides of the equation.
|\frac{2}{3}x+7|=8
Divide both sides by 4.
\frac{2}{3}x+7=8 \frac{2}{3}x+7=-8
Use the definition of absolute value.
\frac{2}{3}x=1 \frac{2}{3}x=-15
Subtract 7 from both sides of the equation.
x=\frac{3}{2} x=-\frac{45}{2}
Divide both sides of the equation by \frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.
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}