Solve for x
x=\frac{3}{4}=0.75
Graph
Share
Copied to clipboard
2\left(6x+5\right)-\left(10x+3\right)=8x+2x+1
Multiply both sides of the equation by 4, the least common multiple of 2,4.
12x+10-\left(10x+3\right)=8x+2x+1
Use the distributive property to multiply 2 by 6x+5.
12x+10-10x-3=8x+2x+1
To find the opposite of 10x+3, find the opposite of each term.
2x+10-3=8x+2x+1
Combine 12x and -10x to get 2x.
2x+7=8x+2x+1
Subtract 3 from 10 to get 7.
2x+7=10x+1
Combine 8x and 2x to get 10x.
2x+7-10x=1
Subtract 10x from both sides.
-8x+7=1
Combine 2x and -10x to get -8x.
-8x=1-7
Subtract 7 from both sides.
-8x=-6
Subtract 7 from 1 to get -6.
x=\frac{-6}{-8}
Divide both sides by -8.
x=\frac{3}{4}
Reduce the fraction \frac{-6}{-8} to lowest terms by extracting and canceling out -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}