0.9x-0.4(6-2x)=-0.2(x-7)

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Solution for 0.9x-0.4(6-2x)=-0.2(x-7) equation: 


Simplifying
0.9x + -0.4(6 + -2x) = -0.2(x + -7)
0.9x + (6 * -0.4 + -2x * -0.4) = -0.2(x + -7)
0.9x + (-2.4 + 0.8x) = -0.2(x + -7)

Reorder the terms:
-2.4 + 0.9x + 0.8x = -0.2(x + -7)

Combine like terms: 0.9x + 0.8x = 1.7x
-2.4 + 1.7x = -0.2(x + -7)

Reorder the terms:
-2.4 + 1.7x = -0.2(-7 + x)
-2.4 + 1.7x = (-7 * -0.2 + x * -0.2)
-2.4 + 1.7x = (1.4 + -0.2x)

Solving
-2.4 + 1.7x = 1.4 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-2.4 + 1.7x + 0.2x = 1.4 + -0.2x + 0.2x

Combine like terms: 1.7x + 0.2x = 1.9x
-2.4 + 1.9x = 1.4 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-2.4 + 1.9x = 1.4 + 0.0
-2.4 + 1.9x = 1.4

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 1.9x = 1.4 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 1.9x = 1.4 + 2.4
1.9x = 1.4 + 2.4

Combine like terms: 1.4 + 2.4 = 3.8
1.9x = 3.8

Divide each side by '1.9'.
x = 2

Simplifying
x = 2

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