0.6(3x-17)=(32-4x)

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Solution for 0.6(3x-17)=(32-4x) equation:


Simplifying
0.6(3x + -17) = (32 + -4x)

Reorder the terms:
0.6(-17 + 3x) = (32 + -4x)
(-17 * 0.6 + 3x * 0.6) = (32 + -4x)
(-10.2 + 1.8x) = (32 + -4x)

Remove parenthesis around (32 + -4x)
-10.2 + 1.8x = 32 + -4x

Solving
-10.2 + 1.8x = 32 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-10.2 + 1.8x + 4x = 32 + -4x + 4x

Combine like terms: 1.8x + 4x = 5.8x
-10.2 + 5.8x = 32 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10.2 + 5.8x = 32 + 0
-10.2 + 5.8x = 32

Add '10.2' to each side of the equation.
-10.2 + 10.2 + 5.8x = 32 + 10.2

Combine like terms: -10.2 + 10.2 = 0.0
0.0 + 5.8x = 32 + 10.2
5.8x = 32 + 10.2

Combine like terms: 32 + 10.2 = 42.2
5.8x = 42.2

Divide each side by '5.8'.
x = 7.275862069

Simplifying
x = 7.275862069

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