33=5x-2(2x-13)

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Solution for 33=5x-2(2x-13) equation:


Simplifying
33 = 5x + -2(2x + -13)

Reorder the terms:
33 = 5x + -2(-13 + 2x)
33 = 5x + (-13 * -2 + 2x * -2)
33 = 5x + (26 + -4x)

Reorder the terms:
33 = 26 + 5x + -4x

Combine like terms: 5x + -4x = 1x
33 = 26 + 1x

Solving
33 = 26 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
33 + -1x = 26 + 1x + -1x

Combine like terms: 1x + -1x = 0
33 + -1x = 26 + 0
33 + -1x = 26

Add '-33' to each side of the equation.
33 + -33 + -1x = 26 + -33

Combine like terms: 33 + -33 = 0
0 + -1x = 26 + -33
-1x = 26 + -33

Combine like terms: 26 + -33 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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