2x+5=2(4.5x+5)

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Solution for 2x+5=2(4.5x+5) equation:


Simplifying
2x + 5 = 2(4.5x + 5)

Reorder the terms:
5 + 2x = 2(4.5x + 5)

Reorder the terms:
5 + 2x = 2(5 + 4.5x)
5 + 2x = (5 * 2 + 4.5x * 2)
5 + 2x = (10 + 9x)

Solving
5 + 2x = 10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
5 + 2x + -9x = 10 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
5 + -7x = 10 + 0
5 + -7x = 10

Add '-5' to each side of the equation.
5 + -5 + -7x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 10 + -5
-7x = 10 + -5

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

Divide each side by '-7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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