0.7x-0.6(5-2x)=-0.9(x-6)

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Solution for 0.7x-0.6(5-2x)=-0.9(x-6) equation: 


Simplifying
0.7x + -0.6(5 + -2x) = -0.9(x + -6)
0.7x + (5 * -0.6 + -2x * -0.6) = -0.9(x + -6)
0.7x + (-3 + 1.2x) = -0.9(x + -6)

Reorder the terms:
-3 + 0.7x + 1.2x = -0.9(x + -6)

Combine like terms: 0.7x + 1.2x = 1.9x
-3 + 1.9x = -0.9(x + -6)

Reorder the terms:
-3 + 1.9x = -0.9(-6 + x)
-3 + 1.9x = (-6 * -0.9 + x * -0.9)
-3 + 1.9x = (5.4 + -0.9x)

Solving
-3 + 1.9x = 5.4 + -0.9x

Solving for variable 'x'.

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

Add '0.9x' to each side of the equation.
-3 + 1.9x + 0.9x = 5.4 + -0.9x + 0.9x

Combine like terms: 1.9x + 0.9x = 2.8x
-3 + 2.8x = 5.4 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-3 + 2.8x = 5.4 + 0.0
-3 + 2.8x = 5.4

Add '3' to each side of the equation.
-3 + 3 + 2.8x = 5.4 + 3

Combine like terms: -3 + 3 = 0
0 + 2.8x = 5.4 + 3
2.8x = 5.4 + 3

Combine like terms: 5.4 + 3 = 8.4
2.8x = 8.4

Divide each side by '2.8'.
x = 3

Simplifying
x = 3

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