4x-(5+(21x-13))=76

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Solution for 4x-(5+(21x-13))=76 equation:


Simplifying
4x + -1(5 + (21x + -13)) = 76

Reorder the terms:
4x + -1(5 + (-13 + 21x)) = 76

Remove parenthesis around (-13 + 21x)
4x + -1(5 + -13 + 21x) = 76

Combine like terms: 5 + -13 = -8
4x + -1(-8 + 21x) = 76
4x + (-8 * -1 + 21x * -1) = 76
4x + (8 + -21x) = 76

Reorder the terms:
8 + 4x + -21x = 76

Combine like terms: 4x + -21x = -17x
8 + -17x = 76

Solving
8 + -17x = 76

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -17x = 76 + -8

Combine like terms: 8 + -8 = 0
0 + -17x = 76 + -8
-17x = 76 + -8

Combine like terms: 76 + -8 = 68
-17x = 68

Divide each side by '-17'.
x = -4

Simplifying
x = -4

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