3x+2=.5(4x-6+x+12)

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Solution for 3x+2=.5(4x-6+x+12) equation: 


Simplifying
3x + 2 = 0.5(4x + -6 + x + 12)

Reorder the terms:
2 + 3x = 0.5(4x + -6 + x + 12)

Reorder the terms:
2 + 3x = 0.5(-6 + 12 + 4x + x)

Combine like terms: -6 + 12 = 6
2 + 3x = 0.5(6 + 4x + x)

Combine like terms: 4x + x = 5x
2 + 3x = 0.5(6 + 5x)
2 + 3x = (6 * 0.5 + 5x * 0.5)
2 + 3x = (3 + 2.5x)

Solving
2 + 3x = 3 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
2 + 3x + -2.5x = 3 + 2.5x + -2.5x

Combine like terms: 3x + -2.5x = 0.5x
2 + 0.5x = 3 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
2 + 0.5x = 3 + 0.0
2 + 0.5x = 3

Add '-2' to each side of the equation.
2 + -2 + 0.5x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 0.5x = 3 + -2
0.5x = 3 + -2

Combine like terms: 3 + -2 = 1
0.5x = 1

Divide each side by '0.5'.
x = 2

Simplifying
x = 2

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