0.2x-0.3(2-4x)=-0.9(x-7)

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Solution for 0.2x-0.3(2-4x)=-0.9(x-7) equation:


Simplifying
0.2x + -0.3(2 + -4x) = -0.9(x + -7)
0.2x + (2 * -0.3 + -4x * -0.3) = -0.9(x + -7)
0.2x + (-0.6 + 1.2x) = -0.9(x + -7)

Reorder the terms:
-0.6 + 0.2x + 1.2x = -0.9(x + -7)

Combine like terms: 0.2x + 1.2x = 1.4x
-0.6 + 1.4x = -0.9(x + -7)

Reorder the terms:
-0.6 + 1.4x = -0.9(-7 + x)
-0.6 + 1.4x = (-7 * -0.9 + x * -0.9)
-0.6 + 1.4x = (6.3 + -0.9x)

Solving
-0.6 + 1.4x = 6.3 + -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.
-0.6 + 1.4x + 0.9x = 6.3 + -0.9x + 0.9x

Combine like terms: 1.4x + 0.9x = 2.3x
-0.6 + 2.3x = 6.3 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
-0.6 + 2.3x = 6.3 + 0.0
-0.6 + 2.3x = 6.3

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 2.3x = 6.3 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 2.3x = 6.3 + 0.6
2.3x = 6.3 + 0.6

Combine like terms: 6.3 + 0.6 = 6.9
2.3x = 6.9

Divide each side by '2.3'.
x = 3

Simplifying
x = 3

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