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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