x+4=0.5(x-3)

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


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

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

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

Solving
4 + x = -1.5 + 0.5x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = -11

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