7(x+9)-3=2(x+9)+17

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Solution for 7(x+9)-3=2(x+9)+17 equation: 


Simplifying
7(x + 9) + -3 = 2(x + 9) + 17

Reorder the terms:
7(9 + x) + -3 = 2(x + 9) + 17
(9 * 7 + x * 7) + -3 = 2(x + 9) + 17
(63 + 7x) + -3 = 2(x + 9) + 17

Reorder the terms:
63 + -3 + 7x = 2(x + 9) + 17

Combine like terms: 63 + -3 = 60
60 + 7x = 2(x + 9) + 17

Reorder the terms:
60 + 7x = 2(9 + x) + 17
60 + 7x = (9 * 2 + x * 2) + 17
60 + 7x = (18 + 2x) + 17

Reorder the terms:
60 + 7x = 18 + 17 + 2x

Combine like terms: 18 + 17 = 35
60 + 7x = 35 + 2x

Solving
60 + 7x = 35 + 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.
60 + 7x + -2x = 35 + 2x + -2x

Combine like terms: 7x + -2x = 5x
60 + 5x = 35 + 2x + -2x

Combine like terms: 2x + -2x = 0
60 + 5x = 35 + 0
60 + 5x = 35

Add '-60' to each side of the equation.
60 + -60 + 5x = 35 + -60

Combine like terms: 60 + -60 = 0
0 + 5x = 35 + -60
5x = 35 + -60

Combine like terms: 35 + -60 = -25
5x = -25

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

Simplifying
x = -5

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