Solve 6(x+1.2)-4(.3x-2.5)=2.4

$$6 ( x + 1.2 ) - 4 ( .3 x - 2.5 ) = 2.4$$

Solve for x

$$x = -\frac{37}{12} = -3\frac{1}{12} \approx -3.083333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x+1.2.

$$6x+7.2-4\left(0.3x-2.5\right)=2.4$$

Use the distributive property to multiply -4 by 0.3x-2.5.

$$6x+7.2-1.2x+10=2.4$$

Combine 6x and -1.2x to get 4.8x.

$$4.8x+7.2+10=2.4$$

Add 7.2 and 10 to get 17.2.

$$4.8x+17.2=2.4$$

Subtract 17.2 from both sides.

$$4.8x=2.4-17.2$$

Subtract 17.2 from 2.4 to get -14.8.

$$4.8x=-14.8$$

Divide both sides by 4.8.

$$x=\frac{-14.8}{4.8}$$

Expand \frac{-14.8}{4.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{-148}{48}$$

Reduce the fraction \frac{-148}{48} to lowest terms by extracting and canceling out 4.

$$x=-\frac{37}{12}$$