36(29-3.5x)=13(3x-7)+29.5

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Solution for 36(29-3.5x)=13(3x-7)+29.5 equation: 


Simplifying
36(29 + -3.5x) = 13(3x + -7) + 29.5
(29 * 36 + -3.5x * 36) = 13(3x + -7) + 29.5
(1044 + -126x) = 13(3x + -7) + 29.5

Reorder the terms:
1044 + -126x = 13(-7 + 3x) + 29.5
1044 + -126x = (-7 * 13 + 3x * 13) + 29.5
1044 + -126x = (-91 + 39x) + 29.5

Reorder the terms:
1044 + -126x = -91 + 29.5 + 39x

Combine like terms: -91 + 29.5 = -61.5
1044 + -126x = -61.5 + 39x

Solving
1044 + -126x = -61.5 + 39x

Solving for variable 'x'.

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

Add '-39x' to each side of the equation.
1044 + -126x + -39x = -61.5 + 39x + -39x

Combine like terms: -126x + -39x = -165x
1044 + -165x = -61.5 + 39x + -39x

Combine like terms: 39x + -39x = 0
1044 + -165x = -61.5 + 0
1044 + -165x = -61.5

Add '-1044' to each side of the equation.
1044 + -1044 + -165x = -61.5 + -1044

Combine like terms: 1044 + -1044 = 0
0 + -165x = -61.5 + -1044
-165x = -61.5 + -1044

Combine like terms: -61.5 + -1044 = -1105.5
-165x = -1105.5

Divide each side by '-165'.
x = 6.7

Simplifying
x = 6.7

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