x-(3.7x-97)-(0.732(3.7x-97)+26)=0

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Solution for x-(3.7x-97)-(0.732(3.7x-97)+26)=0 equation:


Simplifying
x + -1(3.7x + -97) + -1(0.732(3.7x + -97) + 26) = 0

Reorder the terms:
x + -1(-97 + 3.7x) + -1(0.732(3.7x + -97) + 26) = 0
x + (-97 * -1 + 3.7x * -1) + -1(0.732(3.7x + -97) + 26) = 0
x + (97 + -3.7x) + -1(0.732(3.7x + -97) + 26) = 0

Reorder the terms:
x + 97 + -3.7x + -1(0.732(-97 + 3.7x) + 26) = 0
x + 97 + -3.7x + -1((-97 * 0.732 + 3.7x * 0.732) + 26) = 0
x + 97 + -3.7x + -1((-71.004 + 2.7084x) + 26) = 0

Reorder the terms:
x + 97 + -3.7x + -1(-71.004 + 26 + 2.7084x) = 0

Combine like terms: -71.004 + 26 = -45.004
x + 97 + -3.7x + -1(-45.004 + 2.7084x) = 0
x + 97 + -3.7x + (-45.004 * -1 + 2.7084x * -1) = 0
x + 97 + -3.7x + (45.004 + -2.7084x) = 0

Reorder the terms:
97 + 45.004 + x + -3.7x + -2.7084x = 0

Combine like terms: 97 + 45.004 = 142.004
142.004 + x + -3.7x + -2.7084x = 0

Combine like terms: x + -3.7x = -2.7x
142.004 + -2.7x + -2.7084x = 0

Combine like terms: -2.7x + -2.7084x = -5.4084x
142.004 + -5.4084x = 0

Solving
142.004 + -5.4084x = 0

Solving for variable 'x'.

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

Add '-142.004' to each side of the equation.
142.004 + -142.004 + -5.4084x = 0 + -142.004

Combine like terms: 142.004 + -142.004 = 0.000
0.000 + -5.4084x = 0 + -142.004
-5.4084x = 0 + -142.004

Combine like terms: 0 + -142.004 = -142.004
-5.4084x = -142.004

Divide each side by '-5.4084'.
x = 26.25619407

Simplifying
x = 26.25619407

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