-6x-13(x+9)=-6(3x+9)

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Solution for -6x-13(x+9)=-6(3x+9) equation:


Simplifying
-6x + -13(x + 9) = -6(3x + 9)

Reorder the terms:
-6x + -13(9 + x) = -6(3x + 9)
-6x + (9 * -13 + x * -13) = -6(3x + 9)
-6x + (-117 + -13x) = -6(3x + 9)

Reorder the terms:
-117 + -6x + -13x = -6(3x + 9)

Combine like terms: -6x + -13x = -19x
-117 + -19x = -6(3x + 9)

Reorder the terms:
-117 + -19x = -6(9 + 3x)
-117 + -19x = (9 * -6 + 3x * -6)
-117 + -19x = (-54 + -18x)

Solving
-117 + -19x = -54 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-117 + -19x + 18x = -54 + -18x + 18x

Combine like terms: -19x + 18x = -1x
-117 + -1x = -54 + -18x + 18x

Combine like terms: -18x + 18x = 0
-117 + -1x = -54 + 0
-117 + -1x = -54

Add '117' to each side of the equation.
-117 + 117 + -1x = -54 + 117

Combine like terms: -117 + 117 = 0
0 + -1x = -54 + 117
-1x = -54 + 117

Combine like terms: -54 + 117 = 63
-1x = 63

Divide each side by '-1'.
x = -63

Simplifying
x = -63

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