Solve for x
x=1
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7-5\left(2x-1\right)+5\left(x-1\right)=5x-3\left(3x-2\right)
Multiply both sides of the equation by 15, the least common multiple of 15,3,5.
7-10x+5+5\left(x-1\right)=5x-3\left(3x-2\right)
Use the distributive property to multiply -5 by 2x-1.
12-10x+5\left(x-1\right)=5x-3\left(3x-2\right)
Add 7 and 5 to get 12.
12-10x+5x-5=5x-3\left(3x-2\right)
Use the distributive property to multiply 5 by x-1.
12-5x-5=5x-3\left(3x-2\right)
Combine -10x and 5x to get -5x.
7-5x=5x-3\left(3x-2\right)
Subtract 5 from 12 to get 7.
7-5x=5x-9x+6
Use the distributive property to multiply -3 by 3x-2.
7-5x=-4x+6
Combine 5x and -9x to get -4x.
7-5x+4x=6
Add 4x to both sides.
7-x=6
Combine -5x and 4x to get -x.
-x=6-7
Subtract 7 from both sides.
-x=-1
Subtract 7 from 6 to get -1.
x=1
Multiply both sides by -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}