36(37-4.5x)=11(4x-8)+19.2

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Solution for 36(37-4.5x)=11(4x-8)+19.2 equation: 


Simplifying
36(37 + -4.5x) = 11(4x + -8) + 19.2
(37 * 36 + -4.5x * 36) = 11(4x + -8) + 19.2
(1332 + -162x) = 11(4x + -8) + 19.2

Reorder the terms:
1332 + -162x = 11(-8 + 4x) + 19.2
1332 + -162x = (-8 * 11 + 4x * 11) + 19.2
1332 + -162x = (-88 + 44x) + 19.2

Reorder the terms:
1332 + -162x = -88 + 19.2 + 44x

Combine like terms: -88 + 19.2 = -68.8
1332 + -162x = -68.8 + 44x

Solving
1332 + -162x = -68.8 + 44x

Solving for variable 'x'.

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

Add '-44x' to each side of the equation.
1332 + -162x + -44x = -68.8 + 44x + -44x

Combine like terms: -162x + -44x = -206x
1332 + -206x = -68.8 + 44x + -44x

Combine like terms: 44x + -44x = 0
1332 + -206x = -68.8 + 0
1332 + -206x = -68.8

Add '-1332' to each side of the equation.
1332 + -1332 + -206x = -68.8 + -1332

Combine like terms: 1332 + -1332 = 0
0 + -206x = -68.8 + -1332
-206x = -68.8 + -1332

Combine like terms: -68.8 + -1332 = -1400.8
-206x = -1400.8

Divide each side by '-206'.
x = 6.8

Simplifying
x = 6.8

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