33=7(2x-1)-2

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Solution for 33=7(2x-1)-2 equation:


Simplifying
33 = 7(2x + -1) + -2

Reorder the terms:
33 = 7(-1 + 2x) + -2
33 = (-1 * 7 + 2x * 7) + -2
33 = (-7 + 14x) + -2

Reorder the terms:
33 = -7 + -2 + 14x

Combine like terms: -7 + -2 = -9
33 = -9 + 14x

Solving
33 = -9 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
33 + -14x = -9 + 14x + -14x

Combine like terms: 14x + -14x = 0
33 + -14x = -9 + 0
33 + -14x = -9

Add '-33' to each side of the equation.
33 + -33 + -14x = -9 + -33

Combine like terms: 33 + -33 = 0
0 + -14x = -9 + -33
-14x = -9 + -33

Combine like terms: -9 + -33 = -42
-14x = -42

Divide each side by '-14'.
x = 3

Simplifying
x = 3

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