1.5(x-3)-2(x+1)=5

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Solution for 1.5(x-3)-2(x+1)=5 equation: 


Simplifying
1.5(x + -3) + -2(x + 1) = 5

Reorder the terms:
1.5(-3 + x) + -2(x + 1) = 5
(-3 * 1.5 + x * 1.5) + -2(x + 1) = 5
(-4.5 + 1.5x) + -2(x + 1) = 5

Reorder the terms:
-4.5 + 1.5x + -2(1 + x) = 5
-4.5 + 1.5x + (1 * -2 + x * -2) = 5
-4.5 + 1.5x + (-2 + -2x) = 5

Reorder the terms:
-4.5 + -2 + 1.5x + -2x = 5

Combine like terms: -4.5 + -2 = -6.5
-6.5 + 1.5x + -2x = 5

Combine like terms: 1.5x + -2x = -0.5x
-6.5 + -0.5x = 5

Solving
-6.5 + -0.5x = 5

Solving for variable 'x'.

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

Add '6.5' to each side of the equation.
-6.5 + 6.5 + -0.5x = 5 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + -0.5x = 5 + 6.5
-0.5x = 5 + 6.5

Combine like terms: 5 + 6.5 = 11.5
-0.5x = 11.5

Divide each side by '-0.5'.
x = -23

Simplifying
x = -23

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