Solve 0.528(1-95x)-0.51(1-5x)=0.49(1-5x)-0.49(1-95x)

$$0.528(1-95x)-0.51(1-5x)=0.49(1-5x)-0.49(1-95x)$$

Solve for x

$$x=\frac{1}{5095}\approx 0.000196271$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.528 by 1-95x.

$$0.528-50.16x-0.51\left(1-5x\right)=0.49\left(1-5x\right)-0.49\left(1-95x\right)$$

Use the distributive property to multiply -0.51 by 1-5x.

$$0.528-50.16x-0.51+2.55x=0.49\left(1-5x\right)-0.49\left(1-95x\right)$$

Subtract 0.51 from 0.528 to get 0.018.

$$0.018-50.16x+2.55x=0.49\left(1-5x\right)-0.49\left(1-95x\right)$$

Combine -50.16x and 2.55x to get -47.61x.

$$0.018-47.61x=0.49\left(1-5x\right)-0.49\left(1-95x\right)$$

Use the distributive property to multiply 0.49 by 1-5x.

$$0.018-47.61x=0.49-2.45x-0.49\left(1-95x\right)$$

Use the distributive property to multiply -0.49 by 1-95x.

$$0.018-47.61x=0.49-2.45x-0.49+46.55x$$

Subtract 0.49 from 0.49 to get 0.

$$0.018-47.61x=-2.45x+46.55x$$

Combine -2.45x and 46.55x to get 44.1x.

$$0.018-47.61x=44.1x$$

Subtract 44.1x from both sides.

$$0.018-47.61x-44.1x=0$$

Combine -47.61x and -44.1x to get -91.71x.

$$0.018-91.71x=0$$

Subtract 0.018 from both sides. Anything subtracted from zero gives its negation.

$$-91.71x=-0.018$$

Divide both sides by -91.71.

$$x=\frac{-0.018}{-91.71}$$

Expand \frac{-0.018}{-91.71} by multiplying both numerator and the denominator by 1000.

$$x=\frac{-18}{-91710}$$

Reduce the fraction \frac{-18}{-91710} to lowest terms by extracting and canceling out -18.

$$x=\frac{1}{5095}$$