-1.5(x+1)=0.5(x-9)

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Solution for -1.5(x+1)=0.5(x-9) equation:


Simplifying
-1.5(x + 1) = 0.5(x + -9)

Reorder the terms:
-1.5(1 + x) = 0.5(x + -9)
(1 * -1.5 + x * -1.5) = 0.5(x + -9)
(-1.5 + -1.5x) = 0.5(x + -9)

Reorder the terms:
-1.5 + -1.5x = 0.5(-9 + x)
-1.5 + -1.5x = (-9 * 0.5 + x * 0.5)
-1.5 + -1.5x = (-4.5 + 0.5x)

Solving
-1.5 + -1.5x = -4.5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-1.5 + -1.5x + -0.5x = -4.5 + 0.5x + -0.5x

Combine like terms: -1.5x + -0.5x = -2x
-1.5 + -2x = -4.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-1.5 + -2x = -4.5 + 0.0
-1.5 + -2x = -4.5

Add '1.5' to each side of the equation.
-1.5 + 1.5 + -2x = -4.5 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + -2x = -4.5 + 1.5
-2x = -4.5 + 1.5

Combine like terms: -4.5 + 1.5 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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