Solve 2(x+5.3)=6x-1.8

$$2 ( x + 5.3 ) = 6 x - 1.8$$

Solve for x

$$x=3.1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+5.3.

$$2x+10.6=6x-1.8$$

Subtract 6x from both sides.

$$2x+10.6-6x=-1.8$$

Combine 2x and -6x to get -4x.

$$-4x+10.6=-1.8$$

Subtract 10.6 from both sides.

$$-4x=-1.8-10.6$$

Subtract 10.6 from -1.8 to get -12.4.

$$-4x=-12.4$$

Divide both sides by -4.

$$x=\frac{-12.4}{-4}$$

Expand \frac{-12.4}{-4} by multiplying both numerator and the denominator by 10.

$$x=\frac{-124}{-40}$$

Reduce the fraction \frac{-124}{-40} to lowest terms by extracting and canceling out -4.

$$x=\frac{31}{10}$$