6(x-2)=2(x+7)

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Solution for 6(x-2)=2(x+7) equation:


Simplifying
6(x + -2) = 2(x + 7)

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

Reorder the terms:
-12 + 6x = 2(7 + x)
-12 + 6x = (7 * 2 + x * 2)
-12 + 6x = (14 + 2x)

Solving
-12 + 6x = 14 + 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.
-12 + 6x + -2x = 14 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-12 + 4x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 4x = 14 + 0
-12 + 4x = 14

Add '12' to each side of the equation.
-12 + 12 + 4x = 14 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 14 + 12
4x = 14 + 12

Combine like terms: 14 + 12 = 26
4x = 26

Divide each side by '4'.
x = 6.5

Simplifying
x = 6.5

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