-2x-6=x+15(x+15)

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Solution for -2x-6=x+15(x+15) equation:


Simplifying
-2x + -6 = x + 15(x + 15)

Reorder the terms:
-6 + -2x = x + 15(x + 15)

Reorder the terms:
-6 + -2x = x + 15(15 + x)
-6 + -2x = x + (15 * 15 + x * 15)
-6 + -2x = x + (225 + 15x)

Reorder the terms:
-6 + -2x = 225 + x + 15x

Combine like terms: x + 15x = 16x
-6 + -2x = 225 + 16x

Solving
-6 + -2x = 225 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-6 + -2x + -16x = 225 + 16x + -16x

Combine like terms: -2x + -16x = -18x
-6 + -18x = 225 + 16x + -16x

Combine like terms: 16x + -16x = 0
-6 + -18x = 225 + 0
-6 + -18x = 225

Add '6' to each side of the equation.
-6 + 6 + -18x = 225 + 6

Combine like terms: -6 + 6 = 0
0 + -18x = 225 + 6
-18x = 225 + 6

Combine like terms: 225 + 6 = 231
-18x = 231

Divide each side by '-18'.
x = -12.83333333

Simplifying
x = -12.83333333

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