3(x+5)-0.5=3(0.25x+4)

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Solution for 3(x+5)-0.5=3(0.25x+4) equation: 


Simplifying
3(x + 5) + -0.5 = 3(0.25x + 4)

Reorder the terms:
3(5 + x) + -0.5 = 3(0.25x + 4)
(5 * 3 + x * 3) + -0.5 = 3(0.25x + 4)
(15 + 3x) + -0.5 = 3(0.25x + 4)

Reorder the terms:
15 + -0.5 + 3x = 3(0.25x + 4)

Combine like terms: 15 + -0.5 = 14.5
14.5 + 3x = 3(0.25x + 4)

Reorder the terms:
14.5 + 3x = 3(4 + 0.25x)
14.5 + 3x = (4 * 3 + 0.25x * 3)
14.5 + 3x = (12 + 0.75x)

Solving
14.5 + 3x = 12 + 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.
14.5 + 3x + -0.75x = 12 + 0.75x + -0.75x

Combine like terms: 3x + -0.75x = 2.25x
14.5 + 2.25x = 12 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
14.5 + 2.25x = 12 + 0.00
14.5 + 2.25x = 12

Add '-14.5' to each side of the equation.
14.5 + -14.5 + 2.25x = 12 + -14.5

Combine like terms: 14.5 + -14.5 = 0.0
0.0 + 2.25x = 12 + -14.5
2.25x = 12 + -14.5

Combine like terms: 12 + -14.5 = -2.5
2.25x = -2.5

Divide each side by '2.25'.
x = -1.111111111

Simplifying
x = -1.111111111

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