4(3x+11)=2.45(16+4x)

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Solution for 4(3x+11)=2.45(16+4x) equation:


Simplifying
4(3x + 11) = 2.45(16 + 4x)

Reorder the terms:
4(11 + 3x) = 2.45(16 + 4x)
(11 * 4 + 3x * 4) = 2.45(16 + 4x)
(44 + 12x) = 2.45(16 + 4x)
44 + 12x = (16 * 2.45 + 4x * 2.45)
44 + 12x = (39.2 + 9.8x)

Solving
44 + 12x = 39.2 + 9.8x

Solving for variable 'x'.

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

Add '-9.8x' to each side of the equation.
44 + 12x + -9.8x = 39.2 + 9.8x + -9.8x

Combine like terms: 12x + -9.8x = 2.2x
44 + 2.2x = 39.2 + 9.8x + -9.8x

Combine like terms: 9.8x + -9.8x = 0.0
44 + 2.2x = 39.2 + 0.0
44 + 2.2x = 39.2

Add '-44' to each side of the equation.
44 + -44 + 2.2x = 39.2 + -44

Combine like terms: 44 + -44 = 0
0 + 2.2x = 39.2 + -44
2.2x = 39.2 + -44

Combine like terms: 39.2 + -44 = -4.8
2.2x = -4.8

Divide each side by '2.2'.
x = -2.181818182

Simplifying
x = -2.181818182

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