2x=5(4x+9)

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Solution for 2x=5(4x+9) equation:


Simplifying
2x = 5(4x + 9)

Reorder the terms:
2x = 5(9 + 4x)
2x = (9 * 5 + 4x * 5)
2x = (45 + 20x)

Solving
2x = 45 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
2x + -20x = 45 + 20x + -20x

Combine like terms: 2x + -20x = -18x
-18x = 45 + 20x + -20x

Combine like terms: 20x + -20x = 0
-18x = 45 + 0
-18x = 45

Divide each side by '-18'.
x = -2.5

Simplifying
x = -2.5

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