5x+2.5=-1.5x-4.5

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Solution for 5x+2.5=-1.5x-4.5 equation: 


Simplifying
5x + 2.5 = -1.5x + -4.5

Reorder the terms:
2.5 + 5x = -1.5x + -4.5

Reorder the terms:
2.5 + 5x = -4.5 + -1.5x

Solving
2.5 + 5x = -4.5 + -1.5x

Solving for variable 'x'.

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

Add '1.5x' to each side of the equation.
2.5 + 5x + 1.5x = -4.5 + -1.5x + 1.5x

Combine like terms: 5x + 1.5x = 6.5x
2.5 + 6.5x = -4.5 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
2.5 + 6.5x = -4.5 + 0.0
2.5 + 6.5x = -4.5

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 6.5x = -4.5 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 6.5x = -4.5 + -2.5
6.5x = -4.5 + -2.5

Combine like terms: -4.5 + -2.5 = -7
6.5x = -7

Divide each side by '6.5'.
x = -1.076923077

Simplifying
x = -1.076923077

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