7(x+1)=5x+9

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


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

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

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

Solving
7 + 7x = 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.
7 + 7x + -5x = 9 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
7 + 2x = 9 + 0
7 + 2x = 9

Add '-7' to each side of the equation.
7 + -7 + 2x = 9 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 9 + -7
2x = 9 + -7

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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