.3(6x+9)=x-5

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Solution for .3(6x+9)=x-5 equation: 


Simplifying
0.3(6x + 9) = x + -5

Reorder the terms:
0.3(9 + 6x) = x + -5
(9 * 0.3 + 6x * 0.3) = x + -5
(2.7 + 1.8x) = x + -5

Reorder the terms:
2.7 + 1.8x = -5 + x

Solving
2.7 + 1.8x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2.7 + 1.8x + -1x = -5 + x + -1x

Combine like terms: 1.8x + -1x = 0.8x
2.7 + 0.8x = -5 + x + -1x

Combine like terms: x + -1x = 0
2.7 + 0.8x = -5 + 0
2.7 + 0.8x = -5

Add '-2.7' to each side of the equation.
2.7 + -2.7 + 0.8x = -5 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + 0.8x = -5 + -2.7
0.8x = -5 + -2.7

Combine like terms: -5 + -2.7 = -7.7
0.8x = -7.7

Divide each side by '0.8'.
x = -9.625

Simplifying
x = -9.625

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