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

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


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

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

Reorder the terms:
-18 + 6x = 4(4 + 3x)
-18 + 6x = (4 * 4 + 3x * 4)
-18 + 6x = (16 + 12x)

Solving
-18 + 6x = 16 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.
-18 + 6x + -12x = 16 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-18 + -6x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
-18 + -6x = 16 + 0
-18 + -6x = 16

Add '18' to each side of the equation.
-18 + 18 + -6x = 16 + 18

Combine like terms: -18 + 18 = 0
0 + -6x = 16 + 18
-6x = 16 + 18

Combine like terms: 16 + 18 = 34
-6x = 34

Divide each side by '-6'.
x = -5.666666667

Simplifying
x = -5.666666667

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