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

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


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

Reorder the terms:
4(6 + 2x) = 3(x + 6)
(6 * 4 + 2x * 4) = 3(x + 6)
(24 + 8x) = 3(x + 6)

Reorder the terms:
24 + 8x = 3(6 + x)
24 + 8x = (6 * 3 + x * 3)
24 + 8x = (18 + 3x)

Solving
24 + 8x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
24 + 8x + -3x = 18 + 3x + -3x

Combine like terms: 8x + -3x = 5x
24 + 5x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + 5x = 18 + 0
24 + 5x = 18

Add '-24' to each side of the equation.
24 + -24 + 5x = 18 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = 18 + -24
5x = 18 + -24

Combine like terms: 18 + -24 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

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