0.9x-0.7(12-3x)=-0.3(x-5)

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Solution for 0.9x-0.7(12-3x)=-0.3(x-5) equation: 


Simplifying
0.9x + -0.7(12 + -3x) = -0.3(x + -5)
0.9x + (12 * -0.7 + -3x * -0.7) = -0.3(x + -5)
0.9x + (-8.4 + 2.1x) = -0.3(x + -5)

Reorder the terms:
-8.4 + 0.9x + 2.1x = -0.3(x + -5)

Combine like terms: 0.9x + 2.1x = 3x
-8.4 + 3x = -0.3(x + -5)

Reorder the terms:
-8.4 + 3x = -0.3(-5 + x)
-8.4 + 3x = (-5 * -0.3 + x * -0.3)
-8.4 + 3x = (1.5 + -0.3x)

Solving
-8.4 + 3x = 1.5 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-8.4 + 3x + 0.3x = 1.5 + -0.3x + 0.3x

Combine like terms: 3x + 0.3x = 3.3x
-8.4 + 3.3x = 1.5 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-8.4 + 3.3x = 1.5 + 0.0
-8.4 + 3.3x = 1.5

Add '8.4' to each side of the equation.
-8.4 + 8.4 + 3.3x = 1.5 + 8.4

Combine like terms: -8.4 + 8.4 = 0.0
0.0 + 3.3x = 1.5 + 8.4
3.3x = 1.5 + 8.4

Combine like terms: 1.5 + 8.4 = 9.9
3.3x = 9.9

Divide each side by '3.3'.
x = 3

Simplifying
x = 3

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