Question

solve the following.
0.9 (x - 0.3) + 1.2x = 0.4 (x - 0.4) - 1.81
x =
question help: video

Explanation:

Step1: Expand both sides

Expand the left - hand side: \(0.9(x - 0.3)+1.2x=0.9x-0.27 + 1.2x\)
Combine like terms: \(0.9x+1.2x-0.27 = 2.1x-0.27\)

Expand the right - hand side: \(0.4(x - 0.4)-1.81=0.4x-0.16-1.81\)
Combine like terms: \(0.4x-(0.16 + 1.81)=0.4x-1.97\)

So the equation becomes \(2.1x-0.27=0.4x-1.97\)

Step2: Move terms with x to left and constants to right

Subtract \(0.4x\) from both sides: \(2.1x-0.4x-0.27=0.4x-0.4x-1.97\)
\(1.7x-0.27=-1.97\)

Add \(0.27\) to both sides: \(1.7x-0.27 + 0.27=-1.97+0.27\)
\(1.7x=-1.7\)

Step3: Solve for x

Divide both sides by \(1.7\): \(x=\frac{-1.7}{1.7}=- 1\)

Answer:

\(x = - 1\)