-3x-6(x+5)=-2(4x+9)

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Solution for -3x-6(x+5)=-2(4x+9) equation:


Simplifying
-3x + -6(x + 5) = -2(4x + 9)

Reorder the terms:
-3x + -6(5 + x) = -2(4x + 9)
-3x + (5 * -6 + x * -6) = -2(4x + 9)
-3x + (-30 + -6x) = -2(4x + 9)

Reorder the terms:
-30 + -3x + -6x = -2(4x + 9)

Combine like terms: -3x + -6x = -9x
-30 + -9x = -2(4x + 9)

Reorder the terms:
-30 + -9x = -2(9 + 4x)
-30 + -9x = (9 * -2 + 4x * -2)
-30 + -9x = (-18 + -8x)

Solving
-30 + -9x = -18 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-30 + -9x + 8x = -18 + -8x + 8x

Combine like terms: -9x + 8x = -1x
-30 + -1x = -18 + -8x + 8x

Combine like terms: -8x + 8x = 0
-30 + -1x = -18 + 0
-30 + -1x = -18

Add '30' to each side of the equation.
-30 + 30 + -1x = -18 + 30

Combine like terms: -30 + 30 = 0
0 + -1x = -18 + 30
-1x = -18 + 30

Combine like terms: -18 + 30 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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