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

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


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

Reorder the terms:
5 + 2(-5 + 5x) = 9 + -5(2x + 1)
5 + (-5 * 2 + 5x * 2) = 9 + -5(2x + 1)
5 + (-10 + 10x) = 9 + -5(2x + 1)

Combine like terms: 5 + -10 = -5
-5 + 10x = 9 + -5(2x + 1)

Reorder the terms:
-5 + 10x = 9 + -5(1 + 2x)
-5 + 10x = 9 + (1 * -5 + 2x * -5)
-5 + 10x = 9 + (-5 + -10x)

Combine like terms: 9 + -5 = 4
-5 + 10x = 4 + -10x

Solving
-5 + 10x = 4 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-5 + 10x + 10x = 4 + -10x + 10x

Combine like terms: 10x + 10x = 20x
-5 + 20x = 4 + -10x + 10x

Combine like terms: -10x + 10x = 0
-5 + 20x = 4 + 0
-5 + 20x = 4

Add '5' to each side of the equation.
-5 + 5 + 20x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + 20x = 4 + 5
20x = 4 + 5

Combine like terms: 4 + 5 = 9
20x = 9

Divide each side by '20'.
x = 0.45

Simplifying
x = 0.45

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