Solve for x
x=-\frac{4}{7}\approx -0.571428571
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2\left(7x-5\right)=7\left(x-2\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 6\left(x-2\right), the least common multiple of 3x-6,6.
14x-10=7\left(x-2\right)
Use the distributive property to multiply 2 by 7x-5.
14x-10=7x-14
Use the distributive property to multiply 7 by x-2.
14x-10-7x=-14
Subtract 7x from both sides.
7x-10=-14
Combine 14x and -7x to get 7x.
7x=-14+10
Add 10 to both sides.
7x=-4
Add -14 and 10 to get -4.
x=\frac{-4}{7}
Divide both sides by 7.
x=-\frac{4}{7}
Fraction \frac{-4}{7} can be rewritten as -\frac{4}{7} by extracting the negative sign.
Examples
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y = 3x + 4
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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