2x-5=45-8x

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Solution for 2x-5=45-8x equation:


Simplifying
2x + -5 = 45 + -8x

Reorder the terms:
-5 + 2x = 45 + -8x

Solving
-5 + 2x = 45 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-5 + 2x + 8x = 45 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-5 + 10x = 45 + -8x + 8x

Combine like terms: -8x + 8x = 0
-5 + 10x = 45 + 0
-5 + 10x = 45

Add '5' to each side of the equation.
-5 + 5 + 10x = 45 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = 45 + 5
10x = 45 + 5

Combine like terms: 45 + 5 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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