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

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


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

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

Reorder the terms:
-6 + 2x = 6(5 + x)
-6 + 2x = (5 * 6 + x * 6)
-6 + 2x = (30 + 6x)

Solving
-6 + 2x = 30 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 2x + -6x = 30 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-6 + -4x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -4x = 30 + 0
-6 + -4x = 30

Add '6' to each side of the equation.
-6 + 6 + -4x = 30 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = 30 + 6
-4x = 30 + 6

Combine like terms: 30 + 6 = 36
-4x = 36

Divide each side by '-4'.
x = -9

Simplifying
x = -9

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