3x+6=54-2x+4

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Solution for 3x+6=54-2x+4 equation:


Simplifying
3x + 6 = 54 + -2x + 4

Reorder the terms:
6 + 3x = 54 + -2x + 4

Reorder the terms:
6 + 3x = 54 + 4 + -2x

Combine like terms: 54 + 4 = 58
6 + 3x = 58 + -2x

Solving
6 + 3x = 58 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 3x + 2x = 58 + -2x + 2x

Combine like terms: 3x + 2x = 5x
6 + 5x = 58 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 5x = 58 + 0
6 + 5x = 58

Add '-6' to each side of the equation.
6 + -6 + 5x = 58 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 58 + -6
5x = 58 + -6

Combine like terms: 58 + -6 = 52
5x = 52

Divide each side by '5'.
x = 10.4

Simplifying
x = 10.4

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