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

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


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

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

Reorder the terms:
10 + 7 + 2x + x = 5x + 9

Combine like terms: 10 + 7 = 17
17 + 2x + x = 5x + 9

Combine like terms: 2x + x = 3x
17 + 3x = 5x + 9

Reorder the terms:
17 + 3x = 9 + 5x

Solving
17 + 3x = 9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
17 + 3x + -5x = 9 + 5x + -5x

Combine like terms: 3x + -5x = -2x
17 + -2x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
17 + -2x = 9 + 0
17 + -2x = 9

Add '-17' to each side of the equation.
17 + -17 + -2x = 9 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 9 + -17
-2x = 9 + -17

Combine like terms: 9 + -17 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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