3x+7=-3(2x+8)

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Solution for 3x+7=-3(2x+8) equation:


Simplifying
3x + 7 = -3(2x + 8)

Reorder the terms:
7 + 3x = -3(2x + 8)

Reorder the terms:
7 + 3x = -3(8 + 2x)
7 + 3x = (8 * -3 + 2x * -3)
7 + 3x = (-24 + -6x)

Solving
7 + 3x = -24 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
7 + 3x + 6x = -24 + -6x + 6x

Combine like terms: 3x + 6x = 9x
7 + 9x = -24 + -6x + 6x

Combine like terms: -6x + 6x = 0
7 + 9x = -24 + 0
7 + 9x = -24

Add '-7' to each side of the equation.
7 + -7 + 9x = -24 + -7

Combine like terms: 7 + -7 = 0
0 + 9x = -24 + -7
9x = -24 + -7

Combine like terms: -24 + -7 = -31
9x = -31

Divide each side by '9'.
x = -3.444444444

Simplifying
x = -3.444444444

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