3x+7(-3x-11)=31

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Solution for 3x+7(-3x-11)=31 equation:


Simplifying
3x + 7(-3x + -11) = 31

Reorder the terms:
3x + 7(-11 + -3x) = 31
3x + (-11 * 7 + -3x * 7) = 31
3x + (-77 + -21x) = 31

Reorder the terms:
-77 + 3x + -21x = 31

Combine like terms: 3x + -21x = -18x
-77 + -18x = 31

Solving
-77 + -18x = 31

Solving for variable 'x'.

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

Add '77' to each side of the equation.
-77 + 77 + -18x = 31 + 77

Combine like terms: -77 + 77 = 0
0 + -18x = 31 + 77
-18x = 31 + 77

Combine like terms: 31 + 77 = 108
-18x = 108

Divide each side by '-18'.
x = -6

Simplifying
x = -6

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