9(x+7)+3=-7(x-7)-9

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Solution for 9(x+7)+3=-7(x-7)-9 equation:


Simplifying
9(x + 7) + 3 = -7(x + -7) + -9

Reorder the terms:
9(7 + x) + 3 = -7(x + -7) + -9
(7 * 9 + x * 9) + 3 = -7(x + -7) + -9
(63 + 9x) + 3 = -7(x + -7) + -9

Reorder the terms:
63 + 3 + 9x = -7(x + -7) + -9

Combine like terms: 63 + 3 = 66
66 + 9x = -7(x + -7) + -9

Reorder the terms:
66 + 9x = -7(-7 + x) + -9
66 + 9x = (-7 * -7 + x * -7) + -9
66 + 9x = (49 + -7x) + -9

Reorder the terms:
66 + 9x = 49 + -9 + -7x

Combine like terms: 49 + -9 = 40
66 + 9x = 40 + -7x

Solving
66 + 9x = 40 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
66 + 9x + 7x = 40 + -7x + 7x

Combine like terms: 9x + 7x = 16x
66 + 16x = 40 + -7x + 7x

Combine like terms: -7x + 7x = 0
66 + 16x = 40 + 0
66 + 16x = 40

Add '-66' to each side of the equation.
66 + -66 + 16x = 40 + -66

Combine like terms: 66 + -66 = 0
0 + 16x = 40 + -66
16x = 40 + -66

Combine like terms: 40 + -66 = -26
16x = -26

Divide each side by '16'.
x = -1.625

Simplifying
x = -1.625

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