\frac { 26,4 - x } { 8 } = \frac { x } { 30 }
Solve for x
x=\frac{396}{19}\approx 20,842105263
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15\left(26,4-x\right)=4x
Multiply both sides of the equation by 120, the least common multiple of 8;30.
396-15x=4x
Use the distributive property to multiply 15 by 26,4-x.
396-15x-4x=0
Subtract 4x from both sides.
396-19x=0
Combine -15x and -4x to get -19x.
-19x=-396
Subtract 396 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-396}{-19}
Divide both sides by -19.
x=\frac{396}{19}
Fraction \frac{-396}{-19} can be simplified to \frac{396}{19} by removing the negative sign from both the numerator and the denominator.
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