3.6(3x+15)-(10+x)=-24.6

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Solution for 3.6(3x+15)-(10+x)=-24.6 equation: 


Simplifying
3.6(3x + 15) + -1(10 + x) = -24.6

Reorder the terms:
3.6(15 + 3x) + -1(10 + x) = -24.6
(15 * 3.6 + 3x * 3.6) + -1(10 + x) = -24.6
(54 + 10.8x) + -1(10 + x) = -24.6
54 + 10.8x + (10 * -1 + x * -1) = -24.6
54 + 10.8x + (-10 + -1x) = -24.6

Reorder the terms:
54 + -10 + 10.8x + -1x = -24.6

Combine like terms: 54 + -10 = 44
44 + 10.8x + -1x = -24.6

Combine like terms: 10.8x + -1x = 9.8x
44 + 9.8x = -24.6

Solving
44 + 9.8x = -24.6

Solving for variable 'x'.

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

Add '-44' to each side of the equation.
44 + -44 + 9.8x = -24.6 + -44

Combine like terms: 44 + -44 = 0
0 + 9.8x = -24.6 + -44
9.8x = -24.6 + -44

Combine like terms: -24.6 + -44 = -68.6
9.8x = -68.6

Divide each side by '9.8'.
x = -7

Simplifying
x = -7

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