2x+33=5x+3(1+4x)

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Solution for 2x+33=5x+3(1+4x) equation:


Simplifying
2x + 33 = 5x + 3(1 + 4x)

Reorder the terms:
33 + 2x = 5x + 3(1 + 4x)
33 + 2x = 5x + (1 * 3 + 4x * 3)
33 + 2x = 5x + (3 + 12x)

Reorder the terms:
33 + 2x = 3 + 5x + 12x

Combine like terms: 5x + 12x = 17x
33 + 2x = 3 + 17x

Solving
33 + 2x = 3 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
33 + 2x + -17x = 3 + 17x + -17x

Combine like terms: 2x + -17x = -15x
33 + -15x = 3 + 17x + -17x

Combine like terms: 17x + -17x = 0
33 + -15x = 3 + 0
33 + -15x = 3

Add '-33' to each side of the equation.
33 + -33 + -15x = 3 + -33

Combine like terms: 33 + -33 = 0
0 + -15x = 3 + -33
-15x = 3 + -33

Combine like terms: 3 + -33 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2

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