6x+33=5(4x+1)

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Solution for 6x+33=5(4x+1) equation:


Simplifying
6x + 33 = 5(4x + 1)

Reorder the terms:
33 + 6x = 5(4x + 1)

Reorder the terms:
33 + 6x = 5(1 + 4x)
33 + 6x = (1 * 5 + 4x * 5)
33 + 6x = (5 + 20x)

Solving
33 + 6x = 5 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
33 + 6x + -20x = 5 + 20x + -20x

Combine like terms: 6x + -20x = -14x
33 + -14x = 5 + 20x + -20x

Combine like terms: 20x + -20x = 0
33 + -14x = 5 + 0
33 + -14x = 5

Add '-33' to each side of the equation.
33 + -33 + -14x = 5 + -33

Combine like terms: 33 + -33 = 0
0 + -14x = 5 + -33
-14x = 5 + -33

Combine like terms: 5 + -33 = -28
-14x = -28

Divide each side by '-14'.
x = 2

Simplifying
x = 2

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