0.9(3x+6)=13-(x+2)

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Solution for 0.9(3x+6)=13-(x+2) equation:


Simplifying
0.9(3x + 6) = 13 + -1(x + 2)

Reorder the terms:
0.9(6 + 3x) = 13 + -1(x + 2)
(6 * 0.9 + 3x * 0.9) = 13 + -1(x + 2)
(5.4 + 2.7x) = 13 + -1(x + 2)

Reorder the terms:
5.4 + 2.7x = 13 + -1(2 + x)
5.4 + 2.7x = 13 + (2 * -1 + x * -1)
5.4 + 2.7x = 13 + (-2 + -1x)

Combine like terms: 13 + -2 = 11
5.4 + 2.7x = 11 + -1x

Solving
5.4 + 2.7x = 11 + -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.
5.4 + 2.7x + x = 11 + -1x + x

Combine like terms: 2.7x + x = 3.7x
5.4 + 3.7x = 11 + -1x + x

Combine like terms: -1x + x = 0
5.4 + 3.7x = 11 + 0
5.4 + 3.7x = 11

Add '-5.4' to each side of the equation.
5.4 + -5.4 + 3.7x = 11 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + 3.7x = 11 + -5.4
3.7x = 11 + -5.4

Combine like terms: 11 + -5.4 = 5.6
3.7x = 5.6

Divide each side by '3.7'.
x = 1.513513514

Simplifying
x = 1.513513514

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