6x-5(4x+13)=33

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Solution for 6x-5(4x+13)=33 equation:


Simplifying
6x + -5(4x + 13) = 33

Reorder the terms:
6x + -5(13 + 4x) = 33
6x + (13 * -5 + 4x * -5) = 33
6x + (-65 + -20x) = 33

Reorder the terms:
-65 + 6x + -20x = 33

Combine like terms: 6x + -20x = -14x
-65 + -14x = 33

Solving
-65 + -14x = 33

Solving for variable 'x'.

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

Add '65' to each side of the equation.
-65 + 65 + -14x = 33 + 65

Combine like terms: -65 + 65 = 0
0 + -14x = 33 + 65
-14x = 33 + 65

Combine like terms: 33 + 65 = 98
-14x = 98

Divide each side by '-14'.
x = -7

Simplifying
x = -7

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