9x+5-3=2(x+2)-9

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Solution for 9x+5-3=2(x+2)-9 equation:


Simplifying
9x + 5 + -3 = 2(x + 2) + -9

Reorder the terms:
5 + -3 + 9x = 2(x + 2) + -9

Combine like terms: 5 + -3 = 2
2 + 9x = 2(x + 2) + -9

Reorder the terms:
2 + 9x = 2(2 + x) + -9
2 + 9x = (2 * 2 + x * 2) + -9
2 + 9x = (4 + 2x) + -9

Reorder the terms:
2 + 9x = 4 + -9 + 2x

Combine like terms: 4 + -9 = -5
2 + 9x = -5 + 2x

Solving
2 + 9x = -5 + 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.
2 + 9x + -2x = -5 + 2x + -2x

Combine like terms: 9x + -2x = 7x
2 + 7x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 7x = -5 + 0
2 + 7x = -5

Add '-2' to each side of the equation.
2 + -2 + 7x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = -5 + -2
7x = -5 + -2

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

Divide each side by '7'.
x = -1

Simplifying
x = -1

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