2.5(6x-4)=10+(1.5+0.5x)

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Solution for 2.5(6x-4)=10+(1.5+0.5x) equation: 


Simplifying
2.5(6x + -4) = 10 + (1.5 + 0.5x)

Reorder the terms:
2.5(-4 + 6x) = 10 + (1.5 + 0.5x)
(-4 * 2.5 + 6x * 2.5) = 10 + (1.5 + 0.5x)
(-10 + 15x) = 10 + (1.5 + 0.5x)

Remove parenthesis around (1.5 + 0.5x)
-10 + 15x = 10 + 1.5 + 0.5x

Combine like terms: 10 + 1.5 = 11.5
-10 + 15x = 11.5 + 0.5x

Solving
-10 + 15x = 11.5 + 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.
-10 + 15x + -0.5x = 11.5 + 0.5x + -0.5x

Combine like terms: 15x + -0.5x = 14.5x
-10 + 14.5x = 11.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-10 + 14.5x = 11.5 + 0.0
-10 + 14.5x = 11.5

Add '10' to each side of the equation.
-10 + 10 + 14.5x = 11.5 + 10

Combine like terms: -10 + 10 = 0
0 + 14.5x = 11.5 + 10
14.5x = 11.5 + 10

Combine like terms: 11.5 + 10 = 21.5
14.5x = 21.5

Divide each side by '14.5'.
x = 1.482758621

Simplifying
x = 1.482758621

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