0.4x-0.2(9-2x)=-0.7(x-6)

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Solution for 0.4x-0.2(9-2x)=-0.7(x-6) equation: 


Simplifying
0.4x + -0.2(9 + -2x) = -0.7(x + -6)
0.4x + (9 * -0.2 + -2x * -0.2) = -0.7(x + -6)
0.4x + (-1.8 + 0.4x) = -0.7(x + -6)

Reorder the terms:
-1.8 + 0.4x + 0.4x = -0.7(x + -6)

Combine like terms: 0.4x + 0.4x = 0.8x
-1.8 + 0.8x = -0.7(x + -6)

Reorder the terms:
-1.8 + 0.8x = -0.7(-6 + x)
-1.8 + 0.8x = (-6 * -0.7 + x * -0.7)
-1.8 + 0.8x = (4.2 + -0.7x)

Solving
-1.8 + 0.8x = 4.2 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
-1.8 + 0.8x + 0.7x = 4.2 + -0.7x + 0.7x

Combine like terms: 0.8x + 0.7x = 1.5x
-1.8 + 1.5x = 4.2 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-1.8 + 1.5x = 4.2 + 0.0
-1.8 + 1.5x = 4.2

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 1.5x = 4.2 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 1.5x = 4.2 + 1.8
1.5x = 4.2 + 1.8

Combine like terms: 4.2 + 1.8 = 6
1.5x = 6

Divide each side by '1.5'.
x = 4

Simplifying
x = 4

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