8x-7,5=6x+1,5 4x-(9x-6)=46 7x-(x+3)=3(2x-1)

Let's solve each equation step by step.

Equation 1: \( 8x - 7.5 = 6x + 1.5 \)

1. First, we'll move \(6x\) from the right to the left: \[ 8x - 6x = 1.5 + 7.5 \] This simplifies to: \[ 2x = 9 \]
2. Now, divide both sides by 2: \[ x = 4.5 \]

Equation 2: \( 4x - (9x - 6) = 46 \)

1. Distribute the negative sign: \[ 4x - 9x + 6 = 46 \] This simplifies to: \[ -5x + 6 = 46 \]
2. Next, subtract 6 from both sides: \[ -5x = 46 - 6 \] This simplifies to: \[ -5x = 40 \]
3. Now, divide both sides by -5: \[ x = -8 \]

Equation 3: \( 7x - (x + 3) = 3(2x - 1) \)

1. First, simplify the left side: \[ 7x - x - 3 = 3(2x - 1) \] This simplifies to: \[ 6x - 3 = 6x - 3 \]
2. Now, notice that \(6x - 3\) equals \(6x - 3\) is true for all \(x\). It indicates an identity, so: \[ \text{All real numbers are solutions.} \]

Summary of Solutions:

1. For \(8x - 7.5 = 6x + 1.5\), the solution is \(x = 4.5\).
2. For \(4x - (9x - 6) = 46\), the solution is \(x = -8\).
3. For \(7x - (x + 3) = 3(2x - 1)\), all real numbers are solutions.