.5x-.9(7-2x)=-.6(x-4)

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Solution for .5x-.9(7-2x)=-.6(x-4) equation: 


Simplifying
0.5x + -0.9(7 + -2x) = -0.6(x + -4)
0.5x + (7 * -0.9 + -2x * -0.9) = -0.6(x + -4)
0.5x + (-6.3 + 1.8x) = -0.6(x + -4)

Reorder the terms:
-6.3 + 0.5x + 1.8x = -0.6(x + -4)

Combine like terms: 0.5x + 1.8x = 2.3x
-6.3 + 2.3x = -0.6(x + -4)

Reorder the terms:
-6.3 + 2.3x = -0.6(-4 + x)
-6.3 + 2.3x = (-4 * -0.6 + x * -0.6)
-6.3 + 2.3x = (2.4 + -0.6x)

Solving
-6.3 + 2.3x = 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.
-6.3 + 2.3x + 0.6x = 2.4 + -0.6x + 0.6x

Combine like terms: 2.3x + 0.6x = 2.9x
-6.3 + 2.9x = 2.4 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-6.3 + 2.9x = 2.4 + 0.0
-6.3 + 2.9x = 2.4

Add '6.3' to each side of the equation.
-6.3 + 6.3 + 2.9x = 2.4 + 6.3

Combine like terms: -6.3 + 6.3 = 0.0
0.0 + 2.9x = 2.4 + 6.3
2.9x = 2.4 + 6.3

Combine like terms: 2.4 + 6.3 = 8.7
2.9x = 8.7

Divide each side by '2.9'.
x = 3

Simplifying
x = 3

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