6(x-4)=2(x+3)

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Solution for 6(x-4)=2(x+3) equation:


Simplifying
6(x + -4) = 2(x + 3)

Reorder the terms:
6(-4 + x) = 2(x + 3)
(-4 * 6 + x * 6) = 2(x + 3)
(-24 + 6x) = 2(x + 3)

Reorder the terms:
-24 + 6x = 2(3 + x)
-24 + 6x = (3 * 2 + x * 2)
-24 + 6x = (6 + 2x)

Solving
-24 + 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.
-24 + 6x + -2x = 6 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-24 + 4x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 4x = 6 + 0
-24 + 4x = 6

Add '24' to each side of the equation.
-24 + 24 + 4x = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 4x = 6 + 24
4x = 6 + 24

Combine like terms: 6 + 24 = 30
4x = 30

Divide each side by '4'.
x = 7.5

Simplifying
x = 7.5

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