9(x+7)=-2(x-5)

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Solution for 9(x+7)=-2(x-5) equation:


Simplifying
9(x + 7) = -2(x + -5)

Reorder the terms:
9(7 + x) = -2(x + -5)
(7 * 9 + x * 9) = -2(x + -5)
(63 + 9x) = -2(x + -5)

Reorder the terms:
63 + 9x = -2(-5 + x)
63 + 9x = (-5 * -2 + x * -2)
63 + 9x = (10 + -2x)

Solving
63 + 9x = 10 + -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.
63 + 9x + 2x = 10 + -2x + 2x

Combine like terms: 9x + 2x = 11x
63 + 11x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
63 + 11x = 10 + 0
63 + 11x = 10

Add '-63' to each side of the equation.
63 + -63 + 11x = 10 + -63

Combine like terms: 63 + -63 = 0
0 + 11x = 10 + -63
11x = 10 + -63

Combine like terms: 10 + -63 = -53
11x = -53

Divide each side by '11'.
x = -4.818181818

Simplifying
x = -4.818181818

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