Solve for x
x=\frac{3}{4}=0.75
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4+2x-\left(6-7x\right)=13x-\left(1+4\right)
Use the distributive property to multiply 2 by 2+x.
4+2x-6-\left(-7x\right)=13x-\left(1+4\right)
To find the opposite of 6-7x, find the opposite of each term.
4+2x-6+7x=13x-\left(1+4\right)
The opposite of -7x is 7x.
-2+2x+7x=13x-\left(1+4\right)
Subtract 6 from 4 to get -2.
-2+9x=13x-\left(1+4\right)
Combine 2x and 7x to get 9x.
-2+9x=13x-5
Add 1 and 4 to get 5.
-2+9x-13x=-5
Subtract 13x from both sides.
-2-4x=-5
Combine 9x and -13x to get -4x.
-4x=-5+2
Add 2 to both sides.
-4x=-3
Add -5 and 2 to get -3.
x=\frac{-3}{-4}
Divide both sides by -4.
x=\frac{3}{4}
Fraction \frac{-3}{-4} can be simplified to \frac{3}{4} by removing the negative sign from both the numerator and the denominator.
Examples
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y = 3x + 4
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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
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Limits
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