-6(3x+6)-3x=3(x-7)-5

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Solution for -6(3x+6)-3x=3(x-7)-5 equation:


Simplifying
-6(3x + 6) + -3x = 3(x + -7) + -5

Reorder the terms:
-6(6 + 3x) + -3x = 3(x + -7) + -5
(6 * -6 + 3x * -6) + -3x = 3(x + -7) + -5
(-36 + -18x) + -3x = 3(x + -7) + -5

Combine like terms: -18x + -3x = -21x
-36 + -21x = 3(x + -7) + -5

Reorder the terms:
-36 + -21x = 3(-7 + x) + -5
-36 + -21x = (-7 * 3 + x * 3) + -5
-36 + -21x = (-21 + 3x) + -5

Reorder the terms:
-36 + -21x = -21 + -5 + 3x

Combine like terms: -21 + -5 = -26
-36 + -21x = -26 + 3x

Solving
-36 + -21x = -26 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-36 + -21x + -3x = -26 + 3x + -3x

Combine like terms: -21x + -3x = -24x
-36 + -24x = -26 + 3x + -3x

Combine like terms: 3x + -3x = 0
-36 + -24x = -26 + 0
-36 + -24x = -26

Add '36' to each side of the equation.
-36 + 36 + -24x = -26 + 36

Combine like terms: -36 + 36 = 0
0 + -24x = -26 + 36
-24x = -26 + 36

Combine like terms: -26 + 36 = 10
-24x = 10

Divide each side by '-24'.
x = -0.4166666667

Simplifying
x = -0.4166666667

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