3(x+2.5)=0.5(9x+6)

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Solution for 3(x+2.5)=0.5(9x+6) equation: 


Simplifying
3(x + 2.5) = 0.5(9x + 6)

Reorder the terms:
3(2.5 + x) = 0.5(9x + 6)
(2.5 * 3 + x * 3) = 0.5(9x + 6)
(7.5 + 3x) = 0.5(9x + 6)

Reorder the terms:
7.5 + 3x = 0.5(6 + 9x)
7.5 + 3x = (6 * 0.5 + 9x * 0.5)
7.5 + 3x = (3 + 4.5x)

Solving
7.5 + 3x = 3 + 4.5x

Solving for variable 'x'.

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

Add '-4.5x' to each side of the equation.
7.5 + 3x + -4.5x = 3 + 4.5x + -4.5x

Combine like terms: 3x + -4.5x = -1.5x
7.5 + -1.5x = 3 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
7.5 + -1.5x = 3 + 0.0
7.5 + -1.5x = 3

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -1.5x = 3 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -1.5x = 3 + -7.5
-1.5x = 3 + -7.5

Combine like terms: 3 + -7.5 = -4.5
-1.5x = -4.5

Divide each side by '-1.5'.
x = 3

Simplifying
x = 3

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