0.5(5x+12)=4.5x-1

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Solution for 0.5(5x+12)=4.5x-1 equation: 


Simplifying
0.5(5x + 12) = 4.5x + -1

Reorder the terms:
0.5(12 + 5x) = 4.5x + -1
(12 * 0.5 + 5x * 0.5) = 4.5x + -1
(6 + 2.5x) = 4.5x + -1

Reorder the terms:
6 + 2.5x = -1 + 4.5x

Solving
6 + 2.5x = -1 + 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.
6 + 2.5x + -4.5x = -1 + 4.5x + -4.5x

Combine like terms: 2.5x + -4.5x = -2x
6 + -2x = -1 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
6 + -2x = -1 + 0.0
6 + -2x = -1

Add '-6' to each side of the equation.
6 + -6 + -2x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -1 + -6
-2x = -1 + -6

Combine like terms: -1 + -6 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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