7(x+3)=2(-6-x)

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Solution for 7(x+3)=2(-6-x) equation:


Simplifying
7(x + 3) = 2(-6 + -1x)

Reorder the terms:
7(3 + x) = 2(-6 + -1x)
(3 * 7 + x * 7) = 2(-6 + -1x)
(21 + 7x) = 2(-6 + -1x)
21 + 7x = (-6 * 2 + -1x * 2)
21 + 7x = (-12 + -2x)

Solving
21 + 7x = -12 + -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 = -12 + -2x + 2x

Combine like terms: 7x + 2x = 9x
21 + 9x = -12 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + 9x = -12 + 0
21 + 9x = -12

Add '-21' to each side of the equation.
21 + -21 + 9x = -12 + -21

Combine like terms: 21 + -21 = 0
0 + 9x = -12 + -21
9x = -12 + -21

Combine like terms: -12 + -21 = -33
9x = -33

Divide each side by '9'.
x = -3.666666667

Simplifying
x = -3.666666667

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