Solve for x
x=1
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4\left(2x-3\right)-2\left(3-4x\right)-\left(3-5x\right)=0
Multiply both sides of the equation by 8, the least common multiple of 2,4,8.
8x-12-2\left(3-4x\right)-\left(3-5x\right)=0
Use the distributive property to multiply 4 by 2x-3.
8x-12-6+8x-\left(3-5x\right)=0
Use the distributive property to multiply -2 by 3-4x.
8x-18+8x-\left(3-5x\right)=0
Subtract 6 from -12 to get -18.
16x-18-\left(3-5x\right)=0
Combine 8x and 8x to get 16x.
16x-18-3-\left(-5x\right)=0
To find the opposite of 3-5x, find the opposite of each term.
16x-18-3+5x=0
The opposite of -5x is 5x.
16x-21+5x=0
Subtract 3 from -18 to get -21.
21x-21=0
Combine 16x and 5x to get 21x.
21x=21
Add 21 to both sides. Anything plus zero gives itself.
x=\frac{21}{21}
Divide both sides by 21.
x=1
Divide 21 by 21 to get 1.
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}