15(x+15)=8x-16

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Solution for 15(x+15)=8x-16 equation:


Simplifying
15(x + 15) = 8x + -16

Reorder the terms:
15(15 + x) = 8x + -16
(15 * 15 + x * 15) = 8x + -16
(225 + 15x) = 8x + -16

Reorder the terms:
225 + 15x = -16 + 8x

Solving
225 + 15x = -16 + 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.
225 + 15x + -8x = -16 + 8x + -8x

Combine like terms: 15x + -8x = 7x
225 + 7x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
225 + 7x = -16 + 0
225 + 7x = -16

Add '-225' to each side of the equation.
225 + -225 + 7x = -16 + -225

Combine like terms: 225 + -225 = 0
0 + 7x = -16 + -225
7x = -16 + -225

Combine like terms: -16 + -225 = -241
7x = -241

Divide each side by '7'.
x = -34.42857143

Simplifying
x = -34.42857143

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