0.6-3(x-2)=0.1+4(5-x)

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Solution for 0.6-3(x-2)=0.1+4(5-x) equation: 


Simplifying
0.6 + -3(x + -2) = 0.1 + 4(5 + -1x)

Reorder the terms:
0.6 + -3(-2 + x) = 0.1 + 4(5 + -1x)
0.6 + (-2 * -3 + x * -3) = 0.1 + 4(5 + -1x)
0.6 + (6 + -3x) = 0.1 + 4(5 + -1x)

Combine like terms: 0.6 + 6 = 6.6
6.6 + -3x = 0.1 + 4(5 + -1x)
6.6 + -3x = 0.1 + (5 * 4 + -1x * 4)
6.6 + -3x = 0.1 + (20 + -4x)

Combine like terms: 0.1 + 20 = 20.1
6.6 + -3x = 20.1 + -4x

Solving
6.6 + -3x = 20.1 + -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.
6.6 + -3x + 4x = 20.1 + -4x + 4x

Combine like terms: -3x + 4x = 1x
6.6 + 1x = 20.1 + -4x + 4x

Combine like terms: -4x + 4x = 0
6.6 + 1x = 20.1 + 0
6.6 + 1x = 20.1

Add '-6.6' to each side of the equation.
6.6 + -6.6 + 1x = 20.1 + -6.6

Combine like terms: 6.6 + -6.6 = 0.0
0.0 + 1x = 20.1 + -6.6
1x = 20.1 + -6.6

Combine like terms: 20.1 + -6.6 = 13.5
1x = 13.5

Divide each side by '1'.
x = 13.5

Simplifying
x = 13.5

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