.5(5x+12)=2x+3

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Solution for .5(5x+12)=2x+3 equation:


Simplifying
0.5(5x + 12) = 2x + 3

Reorder the terms:
0.5(12 + 5x) = 2x + 3
(12 * 0.5 + 5x * 0.5) = 2x + 3
(6 + 2.5x) = 2x + 3

Reorder the terms:
6 + 2.5x = 3 + 2x

Solving
6 + 2.5x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 2.5x + -2x = 3 + 2x + -2x

Combine like terms: 2.5x + -2x = 0.5x
6 + 0.5x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 0.5x = 3 + 0
6 + 0.5x = 3

Add '-6' to each side of the equation.
6 + -6 + 0.5x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 0.5x = 3 + -6
0.5x = 3 + -6

Combine like terms: 3 + -6 = -3
0.5x = -3

Divide each side by '0.5'.
x = -6

Simplifying
x = -6

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