5(2x+6)=4(3x+6)

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Solution for 5(2x+6)=4(3x+6) equation:


Simplifying
5(2x + 6) = 4(3x + 6)

Reorder the terms:
5(6 + 2x) = 4(3x + 6)
(6 * 5 + 2x * 5) = 4(3x + 6)
(30 + 10x) = 4(3x + 6)

Reorder the terms:
30 + 10x = 4(6 + 3x)
30 + 10x = (6 * 4 + 3x * 4)
30 + 10x = (24 + 12x)

Solving
30 + 10x = 24 + 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.
30 + 10x + -12x = 24 + 12x + -12x

Combine like terms: 10x + -12x = -2x
30 + -2x = 24 + 12x + -12x

Combine like terms: 12x + -12x = 0
30 + -2x = 24 + 0
30 + -2x = 24

Add '-30' to each side of the equation.
30 + -30 + -2x = 24 + -30

Combine like terms: 30 + -30 = 0
0 + -2x = 24 + -30
-2x = 24 + -30

Combine like terms: 24 + -30 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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