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

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


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

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

Remove parenthesis around (-5 + 9x)
5x + -5 + 9x = 7(x + 7)

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

Combine like terms: 5x + 9x = 14x
-5 + 14x = 7(x + 7)

Reorder the terms:
-5 + 14x = 7(7 + x)
-5 + 14x = (7 * 7 + x * 7)
-5 + 14x = (49 + 7x)

Solving
-5 + 14x = 49 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-5 + 14x + -7x = 49 + 7x + -7x

Combine like terms: 14x + -7x = 7x
-5 + 7x = 49 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + 7x = 49 + 0
-5 + 7x = 49

Add '5' to each side of the equation.
-5 + 5 + 7x = 49 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 49 + 5
7x = 49 + 5

Combine like terms: 49 + 5 = 54
7x = 54

Divide each side by '7'.
x = 7.714285714

Simplifying
x = 7.714285714

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