.5(x+3)=x-4

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


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

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

Reorder the terms:
1.5 + 0.5x = -4 + x

Solving
1.5 + 0.5x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1.5 + 0.5x + -1x = -4 + x + -1x

Combine like terms: 0.5x + -1x = -0.5x
1.5 + -0.5x = -4 + x + -1x

Combine like terms: x + -1x = 0
1.5 + -0.5x = -4 + 0
1.5 + -0.5x = -4

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.5x = -4 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.5x = -4 + -1.5
-0.5x = -4 + -1.5

Combine like terms: -4 + -1.5 = -5.5
-0.5x = -5.5

Divide each side by '-0.5'.
x = 11

Simplifying
x = 11

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