x+1.5=0.75(x-0.5)

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Solution for x+1.5=0.75(x-0.5) equation: 


Simplifying
x + 1.5 = 0.75(x + -0.5)

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

Reorder the terms:
1.5 + x = 0.75(-0.5 + x)
1.5 + x = (-0.5 * 0.75 + x * 0.75)
1.5 + x = (-0.375 + 0.75x)

Solving
1.5 + x = -0.375 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
1.5 + x + -0.75x = -0.375 + 0.75x + -0.75x

Combine like terms: x + -0.75x = 0.25x
1.5 + 0.25x = -0.375 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
1.5 + 0.25x = -0.375 + 0.00
1.5 + 0.25x = -0.375

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.25x = -0.375 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.25x = -0.375 + -1.5
0.25x = -0.375 + -1.5

Combine like terms: -0.375 + -1.5 = -1.875
0.25x = -1.875

Divide each side by '0.25'.
x = -7.5

Simplifying
x = -7.5

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