6.4(x+4)+16+3.4(x-3)=54

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Solution for 6.4(x+4)+16+3.4(x-3)=54 equation: 


Simplifying
6.4(x + 4) + 16 + 3.4(x + -3) = 54

Reorder the terms:
6.4(4 + x) + 16 + 3.4(x + -3) = 54
(4 * 6.4 + x * 6.4) + 16 + 3.4(x + -3) = 54
(25.6 + 6.4x) + 16 + 3.4(x + -3) = 54

Reorder the terms:
25.6 + 6.4x + 16 + 3.4(-3 + x) = 54
25.6 + 6.4x + 16 + (-3 * 3.4 + x * 3.4) = 54
25.6 + 6.4x + 16 + (-10.2 + 3.4x) = 54

Reorder the terms:
25.6 + 16 + -10.2 + 6.4x + 3.4x = 54

Combine like terms: 25.6 + 16 = 41.6
41.6 + -10.2 + 6.4x + 3.4x = 54

Combine like terms: 41.6 + -10.2 = 31.4
31.4 + 6.4x + 3.4x = 54

Combine like terms: 6.4x + 3.4x = 9.8x
31.4 + 9.8x = 54

Solving
31.4 + 9.8x = 54

Solving for variable 'x'.

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

Add '-31.4' to each side of the equation.
31.4 + -31.4 + 9.8x = 54 + -31.4

Combine like terms: 31.4 + -31.4 = 0.0
0.0 + 9.8x = 54 + -31.4
9.8x = 54 + -31.4

Combine like terms: 54 + -31.4 = 22.6
9.8x = 22.6

Divide each side by '9.8'.
x = 2.306122449

Simplifying
x = 2.306122449

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