Solve for x
x=2
Graph
Quiz
Linear Equation
5 problems similar to:
( 6 x - 8 ) / 2 + ( 5 x - 4 ) / 3 - ( 4 x - 2 ) / 4 = 5 / 2
Share
Copied to clipboard
6\left(6x-8\right)+4\left(5x-4\right)-3\left(4x-2\right)=30
Multiply both sides of the equation by 12, the least common multiple of 2,3,4.
36x-48+4\left(5x-4\right)-3\left(4x-2\right)=30
Use the distributive property to multiply 6 by 6x-8.
36x-48+20x-16-3\left(4x-2\right)=30
Use the distributive property to multiply 4 by 5x-4.
56x-48-16-3\left(4x-2\right)=30
Combine 36x and 20x to get 56x.
56x-64-3\left(4x-2\right)=30
Subtract 16 from -48 to get -64.
56x-64-12x+6=30
Use the distributive property to multiply -3 by 4x-2.
44x-64+6=30
Combine 56x and -12x to get 44x.
44x-58=30
Add -64 and 6 to get -58.
44x=30+58
Add 58 to both sides.
44x=88
Add 30 and 58 to get 88.
x=\frac{88}{44}
Divide both sides by 44.
x=2
Divide 88 by 44 to get 2.
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}