-6(2x-1)-(3x+5)=31

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Solution for -6(2x-1)-(3x+5)=31 equation:


Simplifying
-6(2x + -1) + -1(3x + 5) = 31

Reorder the terms:
-6(-1 + 2x) + -1(3x + 5) = 31
(-1 * -6 + 2x * -6) + -1(3x + 5) = 31
(6 + -12x) + -1(3x + 5) = 31

Reorder the terms:
6 + -12x + -1(5 + 3x) = 31
6 + -12x + (5 * -1 + 3x * -1) = 31
6 + -12x + (-5 + -3x) = 31

Reorder the terms:
6 + -5 + -12x + -3x = 31

Combine like terms: 6 + -5 = 1
1 + -12x + -3x = 31

Combine like terms: -12x + -3x = -15x
1 + -15x = 31

Solving
1 + -15x = 31

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -15x = 31 + -1

Combine like terms: 1 + -1 = 0
0 + -15x = 31 + -1
-15x = 31 + -1

Combine like terms: 31 + -1 = 30
-15x = 30

Divide each side by '-15'.
x = -2

Simplifying
x = -2

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