Solve for x
x=-1
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2x+3-6-\left(-5x\right)=3x-7
To find the opposite of 6-5x, find the opposite of each term.
2x+3-6+5x=3x-7
The opposite of -5x is 5x.
2x-3+5x=3x-7
Subtract 6 from 3 to get -3.
7x-3=3x-7
Combine 2x and 5x to get 7x.
7x-3-3x=-7
Subtract 3x from both sides.
4x-3=-7
Combine 7x and -3x to get 4x.
4x=-7+3
Add 3 to both sides.
4x=-4
Add -7 and 3 to get -4.
x=\frac{-4}{4}
Divide both sides by 4.
x=-1
Divide -4 by 4 to get -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}