.5(12x-2)=5x-7

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Solution for .5(12x-2)=5x-7 equation:


Simplifying
0.5(12x + -2) = 5x + -7

Reorder the terms:
0.5(-2 + 12x) = 5x + -7
(-2 * 0.5 + 12x * 0.5) = 5x + -7
(-1 + 6x) = 5x + -7

Reorder the terms:
-1 + 6x = -7 + 5x

Solving
-1 + 6x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1 + 6x + -5x = -7 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-1 + 1x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + 1x = -7 + 0
-1 + 1x = -7

Add '1' to each side of the equation.
-1 + 1 + 1x = -7 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = -7 + 1
1x = -7 + 1

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

Divide each side by '1'.
x = -6

Simplifying
x = -6

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