Solve 0.85(x-250)=0.95(x-100)

$$0.85(x-250)=0.95(x-100)$$

Solve for x

$$x=-1175$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.85 by x-250.

$$0.85x-212.5=0.95\left(x-100\right)$$

Use the distributive property to multiply 0.95 by x-100.

$$0.85x-212.5=0.95x-95$$

Subtract 0.95x from both sides.

$$0.85x-212.5-0.95x=-95$$

Combine 0.85x and -0.95x to get -0.1x.

$$-0.1x-212.5=-95$$

Add 212.5 to both sides.

$$-0.1x=-95+212.5$$

Add -95 and 212.5 to get 117.5.

$$-0.1x=117.5$$

Divide both sides by -0.1.

$$x=\frac{117.5}{-0.1}$$

Expand \frac{117.5}{-0.1} by multiplying both numerator and the denominator by 10.

$$x=\frac{1175}{-1}$$

Fraction \frac{1175}{-1} can be rewritten as -1175 by extracting the negative sign.

$$x=-1175$$