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

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


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

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

Reorder the terms:
24 + 4x = 6(-3 + x)
24 + 4x = (-3 * 6 + x * 6)
24 + 4x = (-18 + 6x)

Solving
24 + 4x = -18 + 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.
24 + 4x + -6x = -18 + 6x + -6x

Combine like terms: 4x + -6x = -2x
24 + -2x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -2x = -18 + 0
24 + -2x = -18

Add '-24' to each side of the equation.
24 + -24 + -2x = -18 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = -18 + -24
-2x = -18 + -24

Combine like terms: -18 + -24 = -42
-2x = -42

Divide each side by '-2'.
x = 21

Simplifying
x = 21

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