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

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


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

Reorder the terms:
9(2 + x) + 5(x + 2) = 7x + -7
(2 * 9 + x * 9) + 5(x + 2) = 7x + -7
(18 + 9x) + 5(x + 2) = 7x + -7

Reorder the terms:
18 + 9x + 5(2 + x) = 7x + -7
18 + 9x + (2 * 5 + x * 5) = 7x + -7
18 + 9x + (10 + 5x) = 7x + -7

Reorder the terms:
18 + 10 + 9x + 5x = 7x + -7

Combine like terms: 18 + 10 = 28
28 + 9x + 5x = 7x + -7

Combine like terms: 9x + 5x = 14x
28 + 14x = 7x + -7

Reorder the terms:
28 + 14x = -7 + 7x

Solving
28 + 14x = -7 + 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.
28 + 14x + -7x = -7 + 7x + -7x

Combine like terms: 14x + -7x = 7x
28 + 7x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
28 + 7x = -7 + 0
28 + 7x = -7

Add '-28' to each side of the equation.
28 + -28 + 7x = -7 + -28

Combine like terms: 28 + -28 = 0
0 + 7x = -7 + -28
7x = -7 + -28

Combine like terms: -7 + -28 = -35
7x = -35

Divide each side by '7'.
x = -5

Simplifying
x = -5

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