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Question 1 Solve for x. 12x – 7 + 5x = 8(2x + 1) + x – 8 x = 0 X = all real numbers There is no solution. X = - 7/10

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Given the equation:

12x - 7 + 5x = 8 (2x + 1) + x - 8

To go about this, let's use the following steps

Step 1: Expand Parenthesis, 12x - 7 + 5x = 8 (2x + 1) + x - 8


12x-7+5x=\text{ 8 }*\text{ 2x + 8 x 1 + x - 8 }

=> 12x -7 + 5x = 16x + 8 + x - 8

Step 2: Collect like terms, with the terms having x as a variable on one side

and the constants on the other side

12x + 5x - 16x - x = 7 + 8 - 8

Step 3: Simplify the expression

17x -17x = 7 + 0

0 = 7

Since the variable x has been eliminated and the left-hand side of the equation does not correspond to the right-hand side, then, There is no solution

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