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

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


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

Combine like terms: 29 + -3.5 = 25.5
36(25.5) = 13(3x + -7) + 29.5

Multiply 36 * 25.5
918 = 13(3x + -7) + 29.5

Reorder the terms:
918 = 13(-7 + 3x) + 29.5
918 = (-7 * 13 + 3x * 13) + 29.5
918 = (-91 + 39x) + 29.5

Reorder the terms:
918 = -91 + 29.5 + 39x

Combine like terms: -91 + 29.5 = -61.5
918 = -61.5 + 39x

Solving
918 = -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.
918 + -39x = -61.5 + 39x + -39x

Combine like terms: 39x + -39x = 0
918 + -39x = -61.5 + 0
918 + -39x = -61.5

Add '-918' to each side of the equation.
918 + -918 + -39x = -61.5 + -918

Combine like terms: 918 + -918 = 0
0 + -39x = -61.5 + -918
-39x = -61.5 + -918

Combine like terms: -61.5 + -918 = -979.5
-39x = -979.5

Divide each side by '-39'.
x = 25.11538462

Simplifying
x = 25.11538462

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