If x - 15 = 7 - 5(x - 4). Then what does x equal?

x=7

Step-by-step explanation:

x-15=7-5(x-4)

x-15=7-5x+20

+5x        +5x

6x-15=7+20

+15        +15

6x=7+20+15

6x=42

x=7

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  x = 7

Step-by-step explanation:

Eliminate parentheses and collect terms. Then solve the resulting 3-step linear equation.

  x -15 = 7 -5x +20

  x -15 = -5x +27

  6x -15 = 27 . . . . . . step 1, add 5x to put the variable term on one side

  6x = 42 . . . . . . . . . step 2, add 15 to put the constant term on the other side

  x = 7 . . . . . . . . . . . . step 3, divide by the coefficient of the variable

Additional comment

The variable terms have coefficients 1 and -5. We choose to add the opposite of the term with the least coefficient (farthest left on the number line). That way, the variable term ends up with a positive coefficient.

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step-by-step explanation: