6(x-0.5)=2(x+6.5)

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Solution for 6(x-0.5)=2(x+6.5) equation:


Simplifying
6(x + -0.5) = 2(x + 6.5)

Reorder the terms:
6(-0.5 + x) = 2(x + 6.5)
(-0.5 * 6 + x * 6) = 2(x + 6.5)
(-3 + 6x) = 2(x + 6.5)

Reorder the terms:
-3 + 6x = 2(6.5 + x)
-3 + 6x = (6.5 * 2 + x * 2)
-3 + 6x = (13 + 2x)

Solving
-3 + 6x = 13 + 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.
-3 + 6x + -2x = 13 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-3 + 4x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 4x = 13 + 0
-3 + 4x = 13

Add '3' to each side of the equation.
-3 + 3 + 4x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 13 + 3
4x = 13 + 3

Combine like terms: 13 + 3 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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