Solve for x 2(4x-3)-8=4+2x

Problem

2*(4*x−3)−8=4+2*x

Solution

1. Distribute the constant 2 into the terms inside the parentheses.

2*(4*x)−2*(3)−8=4+2*x

8*x−6−8=4+2*x

2. Combine like terms on the left side of the equation by adding −6 and −8

8*x−14=4+2*x

3. Isolate the variable terms by subtracting 2*x from both sides of the equation.

8*x−2*x−14=4

6*x−14=4

4. Isolate the constant terms by adding 14 to both sides of the equation.

6*x=4+14

6*x=18

5. Solve for x by dividing both sides of the equation by 6

x=18/6

x=3

Final Answer

x=3

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