6x+5(3x+13)=-40

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Solution for 6x+5(3x+13)=-40 equation:


Simplifying
6x + 5(3x + 13) = -40

Reorder the terms:
6x + 5(13 + 3x) = -40
6x + (13 * 5 + 3x * 5) = -40
6x + (65 + 15x) = -40

Reorder the terms:
65 + 6x + 15x = -40

Combine like terms: 6x + 15x = 21x
65 + 21x = -40

Solving
65 + 21x = -40

Solving for variable 'x'.

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

Add '-65' to each side of the equation.
65 + -65 + 21x = -40 + -65

Combine like terms: 65 + -65 = 0
0 + 21x = -40 + -65
21x = -40 + -65

Combine like terms: -40 + -65 = -105
21x = -105

Divide each side by '21'.
x = -5

Simplifying
x = -5

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