x-1.5(2.5x-3)=4.75x

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Solution for x-1.5(2.5x-3)=4.75x equation:


Simplifying
x + -1.5(2.5x + -3) = 4.75x

Reorder the terms:
x + -1.5(-3 + 2.5x) = 4.75x
x + (-3 * -1.5 + 2.5x * -1.5) = 4.75x
x + (4.5 + -3.75x) = 4.75x

Reorder the terms:
4.5 + x + -3.75x = 4.75x

Combine like terms: x + -3.75x = -2.75x
4.5 + -2.75x = 4.75x

Solving
4.5 + -2.75x = 4.75x

Solving for variable 'x'.

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

Add '-4.75x' to each side of the equation.
4.5 + -2.75x + -4.75x = 4.75x + -4.75x

Combine like terms: -2.75x + -4.75x = -7.5x
4.5 + -7.5x = 4.75x + -4.75x

Combine like terms: 4.75x + -4.75x = 0.00
4.5 + -7.5x = 0.00

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -7.5x = 0.00 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -7.5x = 0.00 + -4.5
-7.5x = 0.00 + -4.5

Combine like terms: 0.00 + -4.5 = -4.5
-7.5x = -4.5

Divide each side by '-7.5'.
x = 0.6

Simplifying
x = 0.6

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