4x+9=2(2x-3)+16x

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Solution for 4x+9=2(2x-3)+16x equation:


Simplifying
4x + 9 = 2(2x + -3) + 16x

Reorder the terms:
9 + 4x = 2(2x + -3) + 16x

Reorder the terms:
9 + 4x = 2(-3 + 2x) + 16x
9 + 4x = (-3 * 2 + 2x * 2) + 16x
9 + 4x = (-6 + 4x) + 16x

Combine like terms: 4x + 16x = 20x
9 + 4x = -6 + 20x

Solving
9 + 4x = -6 + 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.
9 + 4x + -20x = -6 + 20x + -20x

Combine like terms: 4x + -20x = -16x
9 + -16x = -6 + 20x + -20x

Combine like terms: 20x + -20x = 0
9 + -16x = -6 + 0
9 + -16x = -6

Add '-9' to each side of the equation.
9 + -9 + -16x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -16x = -6 + -9
-16x = -6 + -9

Combine like terms: -6 + -9 = -15
-16x = -15

Divide each side by '-16'.
x = 0.9375

Simplifying
x = 0.9375

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