2(3x-2)+6(x-0.5)=5

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Solution for 2(3x-2)+6(x-0.5)=5 equation: 


Simplifying
2(3x + -2) + 6(x + -0.5) = 5

Reorder the terms:
2(-2 + 3x) + 6(x + -0.5) = 5
(-2 * 2 + 3x * 2) + 6(x + -0.5) = 5
(-4 + 6x) + 6(x + -0.5) = 5

Reorder the terms:
-4 + 6x + 6(-0.5 + x) = 5
-4 + 6x + (-0.5 * 6 + x * 6) = 5
-4 + 6x + (-3 + 6x) = 5

Reorder the terms:
-4 + -3 + 6x + 6x = 5

Combine like terms: -4 + -3 = -7
-7 + 6x + 6x = 5

Combine like terms: 6x + 6x = 12x
-7 + 12x = 5

Solving
-7 + 12x = 5

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 12x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 12x = 5 + 7
12x = 5 + 7

Combine like terms: 5 + 7 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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