7(x+3)=9x+7

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Solution for 7(x+3)=9x+7 equation:


Simplifying
7(x + 3) = 9x + 7

Reorder the terms:
7(3 + x) = 9x + 7
(3 * 7 + x * 7) = 9x + 7
(21 + 7x) = 9x + 7

Reorder the terms:
21 + 7x = 7 + 9x

Solving
21 + 7x = 7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
21 + 7x + -9x = 7 + 9x + -9x

Combine like terms: 7x + -9x = -2x
21 + -2x = 7 + 9x + -9x

Combine like terms: 9x + -9x = 0
21 + -2x = 7 + 0
21 + -2x = 7

Add '-21' to each side of the equation.
21 + -21 + -2x = 7 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 7 + -21
-2x = 7 + -21

Combine like terms: 7 + -21 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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