0.3-0.6(13-5x)=-.7(x-6)

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Solution for 0.3-0.6(13-5x)=-.7(x-6) equation:


Simplifying
0.3 + -0.6(13 + -5x) = -0.7(x + -6)
0.3 + (13 * -0.6 + -5x * -0.6) = -0.7(x + -6)
0.3 + (-7.8 + 3x) = -0.7(x + -6)

Combine like terms: 0.3 + -7.8 = -7.5
-7.5 + 3x = -0.7(x + -6)

Reorder the terms:
-7.5 + 3x = -0.7(-6 + x)
-7.5 + 3x = (-6 * -0.7 + x * -0.7)
-7.5 + 3x = (4.2 + -0.7x)

Solving
-7.5 + 3x = 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.
-7.5 + 3x + 0.7x = 4.2 + -0.7x + 0.7x

Combine like terms: 3x + 0.7x = 3.7x
-7.5 + 3.7x = 4.2 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-7.5 + 3.7x = 4.2 + 0.0
-7.5 + 3.7x = 4.2

Add '7.5' to each side of the equation.
-7.5 + 7.5 + 3.7x = 4.2 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + 3.7x = 4.2 + 7.5
3.7x = 4.2 + 7.5

Combine like terms: 4.2 + 7.5 = 11.7
3.7x = 11.7

Divide each side by '3.7'.
x = 3.162162162

Simplifying
x = 3.162162162

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