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

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


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

Reorder the terms:
6(-5 + x) = 2(x + 3)
(-5 * 6 + x * 6) = 2(x + 3)
(-30 + 6x) = 2(x + 3)

Reorder the terms:
-30 + 6x = 2(3 + x)
-30 + 6x = (3 * 2 + x * 2)
-30 + 6x = (6 + 2x)

Solving
-30 + 6x = 6 + 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.
-30 + 6x + -2x = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-30 + 4x = 6 + 0
-30 + 4x = 6

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

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

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

Divide each side by '4'.
x = 9

Simplifying
x = 9

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