0.9x-0.5(15-4x)=-0.6(x-5)

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Solution for 0.9x-0.5(15-4x)=-0.6(x-5) equation: 


Simplifying
0.9x + -0.5(15 + -4x) = -0.6(x + -5)
0.9x + (15 * -0.5 + -4x * -0.5) = -0.6(x + -5)
0.9x + (-7.5 + 2x) = -0.6(x + -5)

Reorder the terms:
-7.5 + 0.9x + 2x = -0.6(x + -5)

Combine like terms: 0.9x + 2x = 2.9x
-7.5 + 2.9x = -0.6(x + -5)

Reorder the terms:
-7.5 + 2.9x = -0.6(-5 + x)
-7.5 + 2.9x = (-5 * -0.6 + x * -0.6)
-7.5 + 2.9x = (3 + -0.6x)

Solving
-7.5 + 2.9x = 3 + -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 + 2.9x + 0.6x = 3 + -0.6x + 0.6x

Combine like terms: 2.9x + 0.6x = 3.5x
-7.5 + 3.5x = 3 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-7.5 + 3.5x = 3 + 0.0
-7.5 + 3.5x = 3

Add '7.5' to each side of the equation.
-7.5 + 7.5 + 3.5x = 3 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + 3.5x = 3 + 7.5
3.5x = 3 + 7.5

Combine like terms: 3 + 7.5 = 10.5
3.5x = 10.5

Divide each side by '3.5'.
x = 3

Simplifying
x = 3

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