7(x+3)=2(3-x)

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Solution for 7(x+3)=2(3-x) equation:


Simplifying
7(x + 3) = 2(3 + -1x)

Reorder the terms:
7(3 + x) = 2(3 + -1x)
(3 * 7 + x * 7) = 2(3 + -1x)
(21 + 7x) = 2(3 + -1x)
21 + 7x = (3 * 2 + -1x * 2)
21 + 7x = (6 + -2x)

Solving
21 + 7x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
21 + 7x + 2x = 6 + -2x + 2x

Combine like terms: 7x + 2x = 9x
21 + 9x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + 9x = 6 + 0
21 + 9x = 6

Add '-21' to each side of the equation.
21 + -21 + 9x = 6 + -21

Combine like terms: 21 + -21 = 0
0 + 9x = 6 + -21
9x = 6 + -21

Combine like terms: 6 + -21 = -15
9x = -15

Divide each side by '9'.
x = -1.666666667

Simplifying
x = -1.666666667

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