6(x-0.1)+(3x-2)=10.9

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Solution for 6(x-0.1)+(3x-2)=10.9 equation:


Simplifying
6(x + -0.1) + (3x + -2) = 10.9

Reorder the terms:
6(-0.1 + x) + (3x + -2) = 10.9
(-0.1 * 6 + x * 6) + (3x + -2) = 10.9
(-0.6 + 6x) + (3x + -2) = 10.9

Reorder the terms:
-0.6 + 6x + (-2 + 3x) = 10.9

Remove parenthesis around (-2 + 3x)
-0.6 + 6x + -2 + 3x = 10.9

Reorder the terms:
-0.6 + -2 + 6x + 3x = 10.9

Combine like terms: -0.6 + -2 = -2.6
-2.6 + 6x + 3x = 10.9

Combine like terms: 6x + 3x = 9x
-2.6 + 9x = 10.9

Solving
-2.6 + 9x = 10.9

Solving for variable 'x'.

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

Add '2.6' to each side of the equation.
-2.6 + 2.6 + 9x = 10.9 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + 9x = 10.9 + 2.6
9x = 10.9 + 2.6

Combine like terms: 10.9 + 2.6 = 13.5
9x = 13.5

Divide each side by '9'.
x = 1.5

Simplifying
x = 1.5

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