3(2x-0.3)=15.1-10(0.2+0.1x)

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Solution for 3(2x-0.3)=15.1-10(0.2+0.1x) equation: 


Simplifying
3(2x + -0.3) = 15.1 + -10(0.2 + 0.1x)

Reorder the terms:
3(-0.3 + 2x) = 15.1 + -10(0.2 + 0.1x)
(-0.3 * 3 + 2x * 3) = 15.1 + -10(0.2 + 0.1x)
(-0.9 + 6x) = 15.1 + -10(0.2 + 0.1x)
-0.9 + 6x = 15.1 + (0.2 * -10 + 0.1x * -10)
-0.9 + 6x = 15.1 + (-2 + -1x)

Combine like terms: 15.1 + -2 = 13.1
-0.9 + 6x = 13.1 + -1x

Solving
-0.9 + 6x = 13.1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-0.9 + 6x + x = 13.1 + -1x + x

Combine like terms: 6x + x = 7x
-0.9 + 7x = 13.1 + -1x + x

Combine like terms: -1x + x = 0
-0.9 + 7x = 13.1 + 0
-0.9 + 7x = 13.1

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 7x = 13.1 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 7x = 13.1 + 0.9
7x = 13.1 + 0.9

Combine like terms: 13.1 + 0.9 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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