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

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


Simplifying
0.5x + -0.5(2x + 3) = -0.6(x + 4)

Reorder the terms:
0.5x + -0.5(3 + 2x) = -0.6(x + 4)
0.5x + (3 * -0.5 + 2x * -0.5) = -0.6(x + 4)
0.5x + (-1.5 + -1x) = -0.6(x + 4)

Reorder the terms:
-1.5 + 0.5x + -1x = -0.6(x + 4)

Combine like terms: 0.5x + -1x = -0.5x
-1.5 + -0.5x = -0.6(x + 4)

Reorder the terms:
-1.5 + -0.5x = -0.6(4 + x)
-1.5 + -0.5x = (4 * -0.6 + x * -0.6)
-1.5 + -0.5x = (-2.4 + -0.6x)

Solving
-1.5 + -0.5x = -2.4 + -0.6x

Solving for variable 'x'.

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

Add '0.6x' to each side of the equation.
-1.5 + -0.5x + 0.6x = -2.4 + -0.6x + 0.6x

Combine like terms: -0.5x + 0.6x = 0.1x
-1.5 + 0.1x = -2.4 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-1.5 + 0.1x = -2.4 + 0.0
-1.5 + 0.1x = -2.4

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.1x = -2.4 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.1x = -2.4 + 1.5
0.1x = -2.4 + 1.5

Combine like terms: -2.4 + 1.5 = -0.9
0.1x = -0.9

Divide each side by '0.1'.
x = -9

Simplifying
x = -9

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