.5(x-3)+x=17+3(4-x)

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Solution for .5(x-3)+x=17+3(4-x) equation: 


Simplifying
0.5(x + -3) + x = 17 + 3(4 + -1x)

Reorder the terms:
0.5(-3 + x) + x = 17 + 3(4 + -1x)
(-3 * 0.5 + x * 0.5) + x = 17 + 3(4 + -1x)
(-1.5 + 0.5x) + x = 17 + 3(4 + -1x)

Combine like terms: 0.5x + x = 1.5x
-1.5 + 1.5x = 17 + 3(4 + -1x)
-1.5 + 1.5x = 17 + (4 * 3 + -1x * 3)
-1.5 + 1.5x = 17 + (12 + -3x)

Combine like terms: 17 + 12 = 29
-1.5 + 1.5x = 29 + -3x

Solving
-1.5 + 1.5x = 29 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-1.5 + 1.5x + 3x = 29 + -3x + 3x

Combine like terms: 1.5x + 3x = 4.5x
-1.5 + 4.5x = 29 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1.5 + 4.5x = 29 + 0
-1.5 + 4.5x = 29

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 4.5x = 29 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 4.5x = 29 + 1.5
4.5x = 29 + 1.5

Combine like terms: 29 + 1.5 = 30.5
4.5x = 30.5

Divide each side by '4.5'.
x = 6.777777778

Simplifying
x = 6.777777778

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