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

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


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

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

Reorder the terms:
24 + 4x = 3(4 + 2x)
24 + 4x = (4 * 3 + 2x * 3)
24 + 4x = (12 + 6x)

Solving
24 + 4x = 12 + 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 = 12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
24 + -2x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -2x = 12 + 0
24 + -2x = 12

Add '-24' to each side of the equation.
24 + -24 + -2x = 12 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = 12 + -24
-2x = 12 + -24

Combine like terms: 12 + -24 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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