7(x+1)-5(x+2)=9

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Solution for 7(x+1)-5(x+2)=9 equation:


Simplifying
7(x + 1) + -5(x + 2) = 9

Reorder the terms:
7(1 + x) + -5(x + 2) = 9
(1 * 7 + x * 7) + -5(x + 2) = 9
(7 + 7x) + -5(x + 2) = 9

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

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

Combine like terms: 7 + -10 = -3
-3 + 7x + -5x = 9

Combine like terms: 7x + -5x = 2x
-3 + 2x = 9

Solving
-3 + 2x = 9

Solving for variable 'x'.

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

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

Combine like terms: -3 + 3 = 0
0 + 2x = 9 + 3
2x = 9 + 3

Combine like terms: 9 + 3 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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