0.5(x+4)-(x+3)=-5

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Solution for 0.5(x+4)-(x+3)=-5 equation: 


Simplifying
0.5(x + 4) + -1(x + 3) = -5

Reorder the terms:
0.5(4 + x) + -1(x + 3) = -5
(4 * 0.5 + x * 0.5) + -1(x + 3) = -5
(2 + 0.5x) + -1(x + 3) = -5

Reorder the terms:
2 + 0.5x + -1(3 + x) = -5
2 + 0.5x + (3 * -1 + x * -1) = -5
2 + 0.5x + (-3 + -1x) = -5

Reorder the terms:
2 + -3 + 0.5x + -1x = -5

Combine like terms: 2 + -3 = -1
-1 + 0.5x + -1x = -5

Combine like terms: 0.5x + -1x = -0.5x
-1 + -0.5x = -5

Solving
-1 + -0.5x = -5

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -0.5x = -5 + 1

Combine like terms: -1 + 1 = 0
0 + -0.5x = -5 + 1
-0.5x = -5 + 1

Combine like terms: -5 + 1 = -4
-0.5x = -4

Divide each side by '-0.5'.
x = 8

Simplifying
x = 8

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