5(6-7x)+14(4+4x)=275

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Solution for 5(6-7x)+14(4+4x)=275 equation: 


Simplifying
5(6 + -7x) + 14(4 + 4x) = 275
(6 * 5 + -7x * 5) + 14(4 + 4x) = 275
(30 + -35x) + 14(4 + 4x) = 275
30 + -35x + (4 * 14 + 4x * 14) = 275
30 + -35x + (56 + 56x) = 275

Reorder the terms:
30 + 56 + -35x + 56x = 275

Combine like terms: 30 + 56 = 86
86 + -35x + 56x = 275

Combine like terms: -35x + 56x = 21x
86 + 21x = 275

Solving
86 + 21x = 275

Solving for variable 'x'.

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

Add '-86' to each side of the equation.
86 + -86 + 21x = 275 + -86

Combine like terms: 86 + -86 = 0
0 + 21x = 275 + -86
21x = 275 + -86

Combine like terms: 275 + -86 = 189
21x = 189

Divide each side by '21'.
x = 9

Simplifying
x = 9

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