.5(x+12)=4x-1

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Solution for .5(x+12)=4x-1 equation:


Simplifying
0.5(x + 12) = 4x + -1

Reorder the terms:
0.5(12 + x) = 4x + -1
(12 * 0.5 + x * 0.5) = 4x + -1
(6 + 0.5x) = 4x + -1

Reorder the terms:
6 + 0.5x = -1 + 4x

Solving
6 + 0.5x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 0.5x + -4x = -1 + 4x + -4x

Combine like terms: 0.5x + -4x = -3.5x
6 + -3.5x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -3.5x = -1 + 0
6 + -3.5x = -1

Add '-6' to each side of the equation.
6 + -6 + -3.5x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -3.5x = -1 + -6
-3.5x = -1 + -6

Combine like terms: -1 + -6 = -7
-3.5x = -7

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

Simplifying
x = 2

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