Question

0.3(x - 10) - 1.8 = 2.7x

Explanation:

Step1: Expand the left - hand side

Using the distributive property \(a(b + c)=ab+ac\), for \(0.3(x - 10)\), we have \(0.3\times x-0.3\times10 = 0.3x-3\). So the equation becomes \(0.3x - 3-1.8=2.7x\).

Step2: Combine like terms on the left - hand side

Combine the constant terms: \(-3-1.8=-4.8\). The equation is now \(0.3x-4.8 = 2.7x\).

Step3: Move the \(x\) terms to one side

Subtract \(0.3x\) from both sides of the equation: \(0.3x-0.3x - 4.8=2.7x - 0.3x\). This simplifies to \(-4.8 = 2.4x\).

Step4: Solve for \(x\)

Divide both sides of the equation by \(2.4\): \(x=\frac{- 4.8}{2.4}=-2\).

Answer:

\(x = - 2\)