(3x+66)=(5x+20)

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Solution for (3x+66)=(5x+20) equation:


Simplifying
(3x + 66) = (5x + 20)

Reorder the terms:
(66 + 3x) = (5x + 20)

Remove parenthesis around (66 + 3x)
66 + 3x = (5x + 20)

Reorder the terms:
66 + 3x = (20 + 5x)

Remove parenthesis around (20 + 5x)
66 + 3x = 20 + 5x

Solving
66 + 3x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
66 + 3x + -5x = 20 + 5x + -5x

Combine like terms: 3x + -5x = -2x
66 + -2x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
66 + -2x = 20 + 0
66 + -2x = 20

Add '-66' to each side of the equation.
66 + -66 + -2x = 20 + -66

Combine like terms: 66 + -66 = 0
0 + -2x = 20 + -66
-2x = 20 + -66

Combine like terms: 20 + -66 = -46
-2x = -46

Divide each side by '-2'.
x = 23

Simplifying
x = 23

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