38(27-4.5x)=14(4x-8)+25.7

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Solution for 38(27-4.5x)=14(4x-8)+25.7 equation:


Simplifying
38(27 + -4.5x) = 14(4x + -8) + 25.7
(27 * 38 + -4.5x * 38) = 14(4x + -8) + 25.7
(1026 + -171x) = 14(4x + -8) + 25.7

Reorder the terms:
1026 + -171x = 14(-8 + 4x) + 25.7
1026 + -171x = (-8 * 14 + 4x * 14) + 25.7
1026 + -171x = (-112 + 56x) + 25.7

Reorder the terms:
1026 + -171x = -112 + 25.7 + 56x

Combine like terms: -112 + 25.7 = -86.3
1026 + -171x = -86.3 + 56x

Solving
1026 + -171x = -86.3 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
1026 + -171x + -56x = -86.3 + 56x + -56x

Combine like terms: -171x + -56x = -227x
1026 + -227x = -86.3 + 56x + -56x

Combine like terms: 56x + -56x = 0
1026 + -227x = -86.3 + 0
1026 + -227x = -86.3

Add '-1026' to each side of the equation.
1026 + -1026 + -227x = -86.3 + -1026

Combine like terms: 1026 + -1026 = 0
0 + -227x = -86.3 + -1026
-227x = -86.3 + -1026

Combine like terms: -86.3 + -1026 = -1112.3
-227x = -1112.3

Divide each side by '-227'.
x = 4.9

Simplifying
x = 4.9

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