4x-6(-4x+13)=6

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Solution for 4x-6(-4x+13)=6 equation:


Simplifying
4x + -6(-4x + 13) = 6

Reorder the terms:
4x + -6(13 + -4x) = 6
4x + (13 * -6 + -4x * -6) = 6
4x + (-78 + 24x) = 6

Reorder the terms:
-78 + 4x + 24x = 6

Combine like terms: 4x + 24x = 28x
-78 + 28x = 6

Solving
-78 + 28x = 6

Solving for variable 'x'.

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

Add '78' to each side of the equation.
-78 + 78 + 28x = 6 + 78

Combine like terms: -78 + 78 = 0
0 + 28x = 6 + 78
28x = 6 + 78

Combine like terms: 6 + 78 = 84
28x = 84

Divide each side by '28'.
x = 3

Simplifying
x = 3

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