0.7x-0.2(9-4x)=-0.6(x-4)

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Solution for 0.7x-0.2(9-4x)=-0.6(x-4) equation: 


Simplifying
0.7x + -0.2(9 + -4x) = -0.6(x + -4)
0.7x + (9 * -0.2 + -4x * -0.2) = -0.6(x + -4)
0.7x + (-1.8 + 0.8x) = -0.6(x + -4)

Reorder the terms:
-1.8 + 0.7x + 0.8x = -0.6(x + -4)

Combine like terms: 0.7x + 0.8x = 1.5x
-1.8 + 1.5x = -0.6(x + -4)

Reorder the terms:
-1.8 + 1.5x = -0.6(-4 + x)
-1.8 + 1.5x = (-4 * -0.6 + x * -0.6)
-1.8 + 1.5x = (2.4 + -0.6x)

Solving
-1.8 + 1.5x = 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.
-1.8 + 1.5x + 0.6x = 2.4 + -0.6x + 0.6x

Combine like terms: 1.5x + 0.6x = 2.1x
-1.8 + 2.1x = 2.4 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
-1.8 + 2.1x = 2.4 + 0.0
-1.8 + 2.1x = 2.4

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 2.1x = 2.4 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 2.1x = 2.4 + 1.8
2.1x = 2.4 + 1.8

Combine like terms: 2.4 + 1.8 = 4.2
2.1x = 4.2

Divide each side by '2.1'.
x = 2

Simplifying
x = 2

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