3x+4=-2(3x+5)

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Solution for 3x+4=-2(3x+5) equation:


Simplifying
3x + 4 = -2(3x + 5)

Reorder the terms:
4 + 3x = -2(3x + 5)

Reorder the terms:
4 + 3x = -2(5 + 3x)
4 + 3x = (5 * -2 + 3x * -2)
4 + 3x = (-10 + -6x)

Solving
4 + 3x = -10 + -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.
4 + 3x + 6x = -10 + -6x + 6x

Combine like terms: 3x + 6x = 9x
4 + 9x = -10 + -6x + 6x

Combine like terms: -6x + 6x = 0
4 + 9x = -10 + 0
4 + 9x = -10

Add '-4' to each side of the equation.
4 + -4 + 9x = -10 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = -10 + -4
9x = -10 + -4

Combine like terms: -10 + -4 = -14
9x = -14

Divide each side by '9'.
x = -1.555555556

Simplifying
x = -1.555555556

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