2.5(x-3)=1.66x-2.5

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Solution for 2.5(x-3)=1.66x-2.5 equation: 


Simplifying
2.5(x + -3) = 1.66x + -2.5

Reorder the terms:
2.5(-3 + x) = 1.66x + -2.5
(-3 * 2.5 + x * 2.5) = 1.66x + -2.5
(-7.5 + 2.5x) = 1.66x + -2.5

Reorder the terms:
-7.5 + 2.5x = -2.5 + 1.66x

Solving
-7.5 + 2.5x = -2.5 + 1.66x

Solving for variable 'x'.

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

Add '-1.66x' to each side of the equation.
-7.5 + 2.5x + -1.66x = -2.5 + 1.66x + -1.66x

Combine like terms: 2.5x + -1.66x = 0.84x
-7.5 + 0.84x = -2.5 + 1.66x + -1.66x

Combine like terms: 1.66x + -1.66x = 0.00
-7.5 + 0.84x = -2.5 + 0.00
-7.5 + 0.84x = -2.5

Add '7.5' to each side of the equation.
-7.5 + 7.5 + 0.84x = -2.5 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + 0.84x = -2.5 + 7.5
0.84x = -2.5 + 7.5

Combine like terms: -2.5 + 7.5 = 5
0.84x = 5

Divide each side by '0.84'.
x = 5.952380952

Simplifying
x = 5.952380952

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