21+7x=7(6x-7)

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Solution for 21+7x=7(6x-7) equation:


Simplifying
21 + 7x = 7(6x + -7)

Reorder the terms:
21 + 7x = 7(-7 + 6x)
21 + 7x = (-7 * 7 + 6x * 7)
21 + 7x = (-49 + 42x)

Solving
21 + 7x = -49 + 42x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-42x' to each side of the equation.
21 + 7x + -42x = -49 + 42x + -42x

Combine like terms: 7x + -42x = -35x
21 + -35x = -49 + 42x + -42x

Combine like terms: 42x + -42x = 0
21 + -35x = -49 + 0
21 + -35x = -49

Add '-21' to each side of the equation.
21 + -21 + -35x = -49 + -21

Combine like terms: 21 + -21 = 0
0 + -35x = -49 + -21
-35x = -49 + -21

Combine like terms: -49 + -21 = -70
-35x = -70

Divide each side by '-35'.
x = 2

Simplifying
x = 2

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