Solve x=56(x+x-9)/100

$$x = \frac { 56 ( x + x - 9 ) } { 100 }$$

Solve for x

$$x=42$$

Steps for Solving Linear Equation

Combine x and x to get 2x.

$$x=\frac{56\left(2x-9\right)}{100}$$

Divide 56\left(2x-9\right) by 100 to get \frac{14}{25}\left(2x-9\right).

$$x=\frac{14}{25}\left(2x-9\right)$$

Use the distributive property to multiply \frac{14}{25} by 2x-9.

$$x=\frac{14}{25}\times 2x+\frac{14}{25}\left(-9\right)$$

Express \frac{14}{25}\times 2 as a single fraction.

$$x=\frac{14\times 2}{25}x+\frac{14}{25}\left(-9\right)$$

Multiply 14 and 2 to get 28.

$$x=\frac{28}{25}x+\frac{14}{25}\left(-9\right)$$

Express \frac{14}{25}\left(-9\right) as a single fraction.

$$x=\frac{28}{25}x+\frac{14\left(-9\right)}{25}$$

Multiply 14 and -9 to get -126.

$$x=\frac{28}{25}x+\frac{-126}{25}$$

Fraction \frac{-126}{25} can be rewritten as -\frac{126}{25} by extracting the negative sign.

$$x=\frac{28}{25}x-\frac{126}{25}$$

Subtract \frac{28}{25}x from both sides.

$$x-\frac{28}{25}x=-\frac{126}{25}$$

Combine x and -\frac{28}{25}x to get -\frac{3}{25}x.

$$-\frac{3}{25}x=-\frac{126}{25}$$

Multiply both sides by -\frac{25}{3}, the reciprocal of -\frac{3}{25}.

$$x=-\frac{126}{25}\left(-\frac{25}{3}\right)$$

Multiply -\frac{126}{25} times -\frac{25}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-126\left(-25\right)}{25\times 3}$$

Do the multiplications in the fraction \frac{-126\left(-25\right)}{25\times 3}.

$$x=\frac{3150}{75}$$

Divide 3150 by 75 to get 42.

$$x=42$$