3x+1=-6(x+4)

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Solution for 3x+1=-6(x+4) equation:


Simplifying
3x + 1 = -6(x + 4)

Reorder the terms:
1 + 3x = -6(x + 4)

Reorder the terms:
1 + 3x = -6(4 + x)
1 + 3x = (4 * -6 + x * -6)
1 + 3x = (-24 + -6x)

Solving
1 + 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.
1 + 3x + 6x = -24 + -6x + 6x

Combine like terms: 3x + 6x = 9x
1 + 9x = -24 + -6x + 6x

Combine like terms: -6x + 6x = 0
1 + 9x = -24 + 0
1 + 9x = -24

Add '-1' to each side of the equation.
1 + -1 + 9x = -24 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = -24 + -1
9x = -24 + -1

Combine like terms: -24 + -1 = -25
9x = -25

Divide each side by '9'.
x = -2.777777778

Simplifying
x = -2.777777778

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