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find the value of x

3(-4x+0.6)-1.1=-2x+0.3
dont make me fail

1 answer

To solve the equation \(3(-4x + 0.6) - 1.1 = -2x + 0.3\), we will simplify and solve for \(x\) step by step.

  1. Distribute the 3 on the left side: \[ 3(-4x) + 3(0.6) - 1.1 = -2x + 0.3 \] This simplifies to: \[ -12x + 1.8 - 1.1 = -2x + 0.3 \]

  2. Combine like terms on the left side: \[ -12x + 0.7 = -2x + 0.3 \]

  3. To isolate \(x\), first add \(12x\) to both sides: \[ 0.7 = 10x + 0.3 \]

  4. Next, subtract \(0.3\) from both sides: \[ 0.7 - 0.3 = 10x \] This simplifies to: \[ 0.4 = 10x \]

  5. Finally, divide both sides by \(10\): \[ x = \frac{0.4}{10} = 0.04 \]

Thus, the value of \(x\) is \(\boxed{0.04}\).