34(23-3.5x)=11(3x-7)+7.8

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Solution for 34(23-3.5x)=11(3x-7)+7.8 equation: 


Simplifying
34(23 + -3.5x) = 11(3x + -7) + 7.8
(23 * 34 + -3.5x * 34) = 11(3x + -7) + 7.8
(782 + -119x) = 11(3x + -7) + 7.8

Reorder the terms:
782 + -119x = 11(-7 + 3x) + 7.8
782 + -119x = (-7 * 11 + 3x * 11) + 7.8
782 + -119x = (-77 + 33x) + 7.8

Reorder the terms:
782 + -119x = -77 + 7.8 + 33x

Combine like terms: -77 + 7.8 = -69.2
782 + -119x = -69.2 + 33x

Solving
782 + -119x = -69.2 + 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
782 + -119x + -33x = -69.2 + 33x + -33x

Combine like terms: -119x + -33x = -152x
782 + -152x = -69.2 + 33x + -33x

Combine like terms: 33x + -33x = 0
782 + -152x = -69.2 + 0
782 + -152x = -69.2

Add '-782' to each side of the equation.
782 + -782 + -152x = -69.2 + -782

Combine like terms: 782 + -782 = 0
0 + -152x = -69.2 + -782
-152x = -69.2 + -782

Combine like terms: -69.2 + -782 = -851.2
-152x = -851.2

Divide each side by '-152'.
x = 5.6

Simplifying
x = 5.6

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