11.4(x+3)+2=4.5(x+1)

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Solution for 11.4(x+3)+2=4.5(x+1) equation: 


Simplifying
11.4(x + 3) + 2 = 4.5(x + 1)

Reorder the terms:
11.4(3 + x) + 2 = 4.5(x + 1)
(3 * 11.4 + x * 11.4) + 2 = 4.5(x + 1)
(34.2 + 11.4x) + 2 = 4.5(x + 1)

Reorder the terms:
34.2 + 2 + 11.4x = 4.5(x + 1)

Combine like terms: 34.2 + 2 = 36.2
36.2 + 11.4x = 4.5(x + 1)

Reorder the terms:
36.2 + 11.4x = 4.5(1 + x)
36.2 + 11.4x = (1 * 4.5 + x * 4.5)
36.2 + 11.4x = (4.5 + 4.5x)

Solving
36.2 + 11.4x = 4.5 + 4.5x

Solving for variable 'x'.

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

Add '-4.5x' to each side of the equation.
36.2 + 11.4x + -4.5x = 4.5 + 4.5x + -4.5x

Combine like terms: 11.4x + -4.5x = 6.9x
36.2 + 6.9x = 4.5 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
36.2 + 6.9x = 4.5 + 0.0
36.2 + 6.9x = 4.5

Add '-36.2' to each side of the equation.
36.2 + -36.2 + 6.9x = 4.5 + -36.2

Combine like terms: 36.2 + -36.2 = 0.0
0.0 + 6.9x = 4.5 + -36.2
6.9x = 4.5 + -36.2

Combine like terms: 4.5 + -36.2 = -31.7
6.9x = -31.7

Divide each side by '6.9'.
x = -4.594202899

Simplifying
x = -4.594202899

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