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

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


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

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

Reorder the terms:
21 + 7x = 2(-3 + x)
21 + 7x = (-3 * 2 + x * 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 = 5x
21 + 5x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + 5x = -6 + 0
21 + 5x = -6

Add '-21' to each side of the equation.
21 + -21 + 5x = -6 + -21

Combine like terms: 21 + -21 = 0
0 + 5x = -6 + -21
5x = -6 + -21

Combine like terms: -6 + -21 = -27
5x = -27

Divide each side by '5'.
x = -5.4

Simplifying
x = -5.4

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