2x+2.5=-.5(x-1.5)

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Solution for 2x+2.5=-.5(x-1.5) equation: 


Simplifying
2x + 2.5 = -0.5(x + -1.5)

Reorder the terms:
2.5 + 2x = -0.5(x + -1.5)

Reorder the terms:
2.5 + 2x = -0.5(-1.5 + x)
2.5 + 2x = (-1.5 * -0.5 + x * -0.5)
2.5 + 2x = (0.75 + -0.5x)

Solving
2.5 + 2x = 0.75 + -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.
2.5 + 2x + 0.5x = 0.75 + -0.5x + 0.5x

Combine like terms: 2x + 0.5x = 2.5x
2.5 + 2.5x = 0.75 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
2.5 + 2.5x = 0.75 + 0.0
2.5 + 2.5x = 0.75

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 2.5x = 0.75 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 2.5x = 0.75 + -2.5
2.5x = 0.75 + -2.5

Combine like terms: 0.75 + -2.5 = -1.75
2.5x = -1.75

Divide each side by '2.5'.
x = -0.7

Simplifying
x = -0.7

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