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

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


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

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

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

Solving
24 + 6x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
24 + 6x + -4x = 12 + 4x + -4x

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

Combine like terms: 4x + -4x = 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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