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

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


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

Reorder the terms:
3(4 + x) = 6(x + -3)
(4 * 3 + x * 3) = 6(x + -3)
(12 + 3x) = 6(x + -3)

Reorder the terms:
12 + 3x = 6(-3 + x)
12 + 3x = (-3 * 6 + x * 6)
12 + 3x = (-18 + 6x)

Solving
12 + 3x = -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.
12 + 3x + -6x = -18 + 6x + -6x

Combine like terms: 3x + -6x = -3x
12 + -3x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -3x = -18 + 0
12 + -3x = -18

Add '-12' to each side of the equation.
12 + -12 + -3x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -18 + -12
-3x = -18 + -12

Combine like terms: -18 + -12 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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