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

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


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

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

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

Combine like terms: 9x + -2x = 7x
-10 + 7x = 5(x + 5)

Reorder the terms:
-10 + 7x = 5(5 + x)
-10 + 7x = (5 * 5 + x * 5)
-10 + 7x = (25 + 5x)

Solving
-10 + 7x = 25 + 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.
-10 + 7x + -5x = 25 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-10 + 2x = 25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 2x = 25 + 0
-10 + 2x = 25

Add '10' to each side of the equation.
-10 + 10 + 2x = 25 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 25 + 10
2x = 25 + 10

Combine like terms: 25 + 10 = 35
2x = 35

Divide each side by '2'.
x = 17.5

Simplifying
x = 17.5

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