1.5(x+3)=.8x-8

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Solution for 1.5(x+3)=.8x-8 equation: 


Simplifying
1.5(x + 3) = 0.8x + -8

Reorder the terms:
1.5(3 + x) = 0.8x + -8
(3 * 1.5 + x * 1.5) = 0.8x + -8
(4.5 + 1.5x) = 0.8x + -8

Reorder the terms:
4.5 + 1.5x = -8 + 0.8x

Solving
4.5 + 1.5x = -8 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
4.5 + 1.5x + -0.8x = -8 + 0.8x + -0.8x

Combine like terms: 1.5x + -0.8x = 0.7x
4.5 + 0.7x = -8 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
4.5 + 0.7x = -8 + 0.0
4.5 + 0.7x = -8

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 0.7x = -8 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 0.7x = -8 + -4.5
0.7x = -8 + -4.5

Combine like terms: -8 + -4.5 = -12.5
0.7x = -12.5

Divide each side by '0.7'.
x = -17.85714286

Simplifying
x = -17.85714286

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