7(x+3)=3x+13+6x

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Solution for 7(x+3)=3x+13+6x equation:


Simplifying
7(x + 3) = 3x + 13 + 6x

Reorder the terms:
7(3 + x) = 3x + 13 + 6x
(3 * 7 + x * 7) = 3x + 13 + 6x
(21 + 7x) = 3x + 13 + 6x

Reorder the terms:
21 + 7x = 13 + 3x + 6x

Combine like terms: 3x + 6x = 9x
21 + 7x = 13 + 9x

Solving
21 + 7x = 13 + 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 = 13 + 9x + -9x

Combine like terms: 7x + -9x = -2x
21 + -2x = 13 + 9x + -9x

Combine like terms: 9x + -9x = 0
21 + -2x = 13 + 0
21 + -2x = 13

Add '-21' to each side of the equation.
21 + -21 + -2x = 13 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 13 + -21
-2x = 13 + -21

Combine like terms: 13 + -21 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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