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

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


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

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

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

Reorder the terms for easier multiplication:
1 + 3x = -6 * 4(4 + x)

Multiply -6 * 4
1 + 3x = -24(4 + x)
1 + 3x = (4 * -24 + x * -24)
1 + 3x = (-96 + -24x)

Solving
1 + 3x = -96 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
1 + 3x + 24x = -96 + -24x + 24x

Combine like terms: 3x + 24x = 27x
1 + 27x = -96 + -24x + 24x

Combine like terms: -24x + 24x = 0
1 + 27x = -96 + 0
1 + 27x = -96

Add '-1' to each side of the equation.
1 + -1 + 27x = -96 + -1

Combine like terms: 1 + -1 = 0
0 + 27x = -96 + -1
27x = -96 + -1

Combine like terms: -96 + -1 = -97
27x = -97

Divide each side by '27'.
x = -3.592592593

Simplifying
x = -3.592592593

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