.8x-.5(15-5x)=-.6(x-7)

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Solution for .8x-.5(15-5x)=-.6(x-7) equation: 


Simplifying
0.8x + -0.5(15 + -5x) = -0.6(x + -7)
0.8x + (15 * -0.5 + -5x * -0.5) = -0.6(x + -7)
0.8x + (-7.5 + 2.5x) = -0.6(x + -7)

Reorder the terms:
-7.5 + 0.8x + 2.5x = -0.6(x + -7)

Combine like terms: 0.8x + 2.5x = 3.3x
-7.5 + 3.3x = -0.6(x + -7)

Reorder the terms:
-7.5 + 3.3x = -0.6(-7 + x)
-7.5 + 3.3x = (-7 * -0.6 + x * -0.6)
-7.5 + 3.3x = (4.2 + -0.6x)

Solving
-7.5 + 3.3x = 4.2 + -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.
-7.5 + 3.3x + 0.6x = 4.2 + -0.6x + 0.6x

Combine like terms: 3.3x + 0.6x = 3.9x
-7.5 + 3.9x = 4.2 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-7.5 + 3.9x = 4.2 + 0.0
-7.5 + 3.9x = 4.2

Add '7.5' to each side of the equation.
-7.5 + 7.5 + 3.9x = 4.2 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + 3.9x = 4.2 + 7.5
3.9x = 4.2 + 7.5

Combine like terms: 4.2 + 7.5 = 11.7
3.9x = 11.7

Divide each side by '3.9'.
x = 3

Simplifying
x = 3

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