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

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


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

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

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

Combine like terms: -10 + 7 = -3
-3 + 2x = x + 9

Reorder the terms:
-3 + 2x = 9 + x

Solving
-3 + 2x = 9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 2x + -1x = 9 + x + -1x

Combine like terms: 2x + -1x = 1x
-3 + 1x = 9 + x + -1x

Combine like terms: x + -1x = 0
-3 + 1x = 9 + 0
-3 + 1x = 9

Add '3' to each side of the equation.
-3 + 3 + 1x = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 9 + 3
1x = 9 + 3

Combine like terms: 9 + 3 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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