Solve 2.8x+2=5.3x-1.5

$$2.8 x + 2 = 5.3 x - 1.5$$

Solve for x

$$x=1.4$$

Steps for Solving Linear Equation

Subtract 5.3x from both sides.

$$2.8x+2-5.3x=-1.5$$

Combine 2.8x and -5.3x to get -2.5x.

$$-2.5x+2=-1.5$$

Subtract 2 from both sides.

$$-2.5x=-1.5-2$$

Subtract 2 from -1.5 to get -3.5.

$$-2.5x=-3.5$$

Divide both sides by -2.5.

$$x=\frac{-3.5}{-2.5}$$

Expand \frac{-3.5}{-2.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-35}{-25}$$

Reduce the fraction \frac{-35}{-25} to lowest terms by extracting and canceling out -5.

$$x=\frac{7}{5}$$