Solve -(2x-0.71)=0.9(1.4-x)

$$-(2x-0.71)=0.9(1.4-x)$$

Solve for x

$$x=-0.5$$

Steps for Solving Linear Equation

To find the opposite of 2x-0.71, find the opposite of each term.

$$-2x-\left(-0.71\right)=0.9\left(1.4-x\right)$$

The opposite of -0.71 is 0.71.

$$-2x+0.71=0.9\left(1.4-x\right)$$

Use the distributive property to multiply 0.9 by 1.4-x.

$$-2x+0.71=1.26-0.9x$$

Add 0.9x to both sides.

$$-2x+0.71+0.9x=1.26$$

Combine -2x and 0.9x to get -1.1x.

$$-1.1x+0.71=1.26$$

Subtract 0.71 from both sides.

$$-1.1x=1.26-0.71$$

Subtract 0.71 from 1.26 to get 0.55.

$$-1.1x=0.55$$

Divide both sides by -1.1.

$$x=\frac{0.55}{-1.1}$$

Expand \frac{0.55}{-1.1} by multiplying both numerator and the denominator by 100.

$$x=\frac{55}{-110}$$

Reduce the fraction \frac{55}{-110} to lowest terms by extracting and canceling out 55.

$$x=-\frac{1}{2}$$