3(x-2)+4.5+1.5(x+1)=-14

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Solution for 3(x-2)+4.5+1.5(x+1)=-14 equation: 


Simplifying
3(x + -2) + 4.5 + 1.5(x + 1) = -14

Reorder the terms:
3(-2 + x) + 4.5 + 1.5(x + 1) = -14
(-2 * 3 + x * 3) + 4.5 + 1.5(x + 1) = -14
(-6 + 3x) + 4.5 + 1.5(x + 1) = -14

Reorder the terms:
-6 + 3x + 4.5 + 1.5(1 + x) = -14
-6 + 3x + 4.5 + (1 * 1.5 + x * 1.5) = -14
-6 + 3x + 4.5 + (1.5 + 1.5x) = -14

Reorder the terms:
-6 + 4.5 + 1.5 + 3x + 1.5x = -14

Combine like terms: -6 + 4.5 = -1.5
-1.5 + 1.5 + 3x + 1.5x = -14

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 3x + 1.5x = -14
3x + 1.5x = -14

Combine like terms: 3x + 1.5x = 4.5x
4.5x = -14

Solving
4.5x = -14

Solving for variable 'x'.

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

Divide each side by '4.5'.
x = -3.111111111

Simplifying
x = -3.111111111

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