15(x+22)=-2(8-x)

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Solution for 15(x+22)=-2(8-x) equation:


Simplifying
15(x + 22) = -2(8 + -1x)

Reorder the terms:
15(22 + x) = -2(8 + -1x)
(22 * 15 + x * 15) = -2(8 + -1x)
(330 + 15x) = -2(8 + -1x)
330 + 15x = (8 * -2 + -1x * -2)
330 + 15x = (-16 + 2x)

Solving
330 + 15x = -16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
330 + 15x + -2x = -16 + 2x + -2x

Combine like terms: 15x + -2x = 13x
330 + 13x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
330 + 13x = -16 + 0
330 + 13x = -16

Add '-330' to each side of the equation.
330 + -330 + 13x = -16 + -330

Combine like terms: 330 + -330 = 0
0 + 13x = -16 + -330
13x = -16 + -330

Combine like terms: -16 + -330 = -346
13x = -346

Divide each side by '13'.
x = -26.61538462

Simplifying
x = -26.61538462

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