2x=5(2x+9)+3

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Solution for 2x=5(2x+9)+3 equation:


Simplifying
2x = 5(2x + 9) + 3

Reorder the terms:
2x = 5(9 + 2x) + 3
2x = (9 * 5 + 2x * 5) + 3
2x = (45 + 10x) + 3

Reorder the terms:
2x = 45 + 3 + 10x

Combine like terms: 45 + 3 = 48
2x = 48 + 10x

Solving
2x = 48 + 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.
2x + -10x = 48 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-8x = 48 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8x = 48 + 0
-8x = 48

Divide each side by '-8'.
x = -6

Simplifying
x = -6

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