−6x+12=4x+7 .

To solve the equation −6x + 12 = 4x + 7, we will first simplify it by isolating the variable x on one side of the equation.

Step 1: Combine like terms. −6x + 12 = 4x + 7 Step 2: Subtract 4x from both sides to get all terms with x on one side. −6x - 4x + 12 = 7 −10x + 12 = 7 Step 3: Subtract 12 from both sides to isolate x. −10x + 12 - 12 = 7 - 12 −10x = -5 Step 4: Divide by -10 to solve for x. x = -5 / -10 x = 0.5

Therefore, the solution to the equation −6x + 12 = 4x + 7 is x = 0.5.