0.7x-0.3(9-2x)=-0.4(x-6)

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Solution for 0.7x-0.3(9-2x)=-0.4(x-6) equation:


Simplifying
0.7x + -0.3(9 + -2x) = -0.4(x + -6)
0.7x + (9 * -0.3 + -2x * -0.3) = -0.4(x + -6)
0.7x + (-2.7 + 0.6x) = -0.4(x + -6)

Reorder the terms:
-2.7 + 0.7x + 0.6x = -0.4(x + -6)

Combine like terms: 0.7x + 0.6x = 1.3x
-2.7 + 1.3x = -0.4(x + -6)

Reorder the terms:
-2.7 + 1.3x = -0.4(-6 + x)
-2.7 + 1.3x = (-6 * -0.4 + x * -0.4)
-2.7 + 1.3x = (2.4 + -0.4x)

Solving
-2.7 + 1.3x = 2.4 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-2.7 + 1.3x + 0.4x = 2.4 + -0.4x + 0.4x

Combine like terms: 1.3x + 0.4x = 1.7x
-2.7 + 1.7x = 2.4 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-2.7 + 1.7x = 2.4 + 0.0
-2.7 + 1.7x = 2.4

Add '2.7' to each side of the equation.
-2.7 + 2.7 + 1.7x = 2.4 + 2.7

Combine like terms: -2.7 + 2.7 = 0.0
0.0 + 1.7x = 2.4 + 2.7
1.7x = 2.4 + 2.7

Combine like terms: 2.4 + 2.7 = 5.1
1.7x = 5.1

Divide each side by '1.7'.
x = 3

Simplifying
x = 3

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