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

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


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

Reorder the terms:
5(-2 + x) = 2(x + 6)
(-2 * 5 + x * 5) = 2(x + 6)
(-10 + 5x) = 2(x + 6)

Reorder the terms:
-10 + 5x = 2(6 + x)
-10 + 5x = (6 * 2 + x * 2)
-10 + 5x = (12 + 2x)

Solving
-10 + 5x = 12 + 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.
-10 + 5x + -2x = 12 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-10 + 3x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 3x = 12 + 0
-10 + 3x = 12

Add '10' to each side of the equation.
-10 + 10 + 3x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 12 + 10
3x = 12 + 10

Combine like terms: 12 + 10 = 22
3x = 22

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333

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