7x-(5-4x)=83

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Solution for 7x-(5-4x)=83 equation:


Simplifying
7x + -1(5 + -4x) = 83
7x + (5 * -1 + -4x * -1) = 83
7x + (-5 + 4x) = 83

Reorder the terms:
-5 + 7x + 4x = 83

Combine like terms: 7x + 4x = 11x
-5 + 11x = 83

Solving
-5 + 11x = 83

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 11x = 83 + 5

Combine like terms: -5 + 5 = 0
0 + 11x = 83 + 5
11x = 83 + 5

Combine like terms: 83 + 5 = 88
11x = 88

Divide each side by '11'.
x = 8

Simplifying
x = 8

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