Solve for x
x=\frac{3}{4}=0.75
Graph
Share
Copied to clipboard
4\times 2\left(x-2\right)+5\times 3\left(2x+1\right)=10x+20
Multiply both sides of the equation by 20, the least common multiple of 5,4,2.
8\left(x-2\right)+5\times 3\left(2x+1\right)=10x+20
Multiply 4 and 2 to get 8.
8x-16+5\times 3\left(2x+1\right)=10x+20
Use the distributive property to multiply 8 by x-2.
8x-16+15\left(2x+1\right)=10x+20
Multiply 5 and 3 to get 15.
8x-16+30x+15=10x+20
Use the distributive property to multiply 15 by 2x+1.
38x-16+15=10x+20
Combine 8x and 30x to get 38x.
38x-1=10x+20
Add -16 and 15 to get -1.
38x-1-10x=20
Subtract 10x from both sides.
28x-1=20
Combine 38x and -10x to get 28x.
28x=20+1
Add 1 to both sides.
28x=21
Add 20 and 1 to get 21.
x=\frac{21}{28}
Divide both sides by 28.
x=\frac{3}{4}
Reduce the fraction \frac{21}{28} to lowest terms by extracting and canceling out 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}