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

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


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

Reorder the terms:
4(6 + 2x) = 5(x + 6)
(6 * 4 + 2x * 4) = 5(x + 6)
(24 + 8x) = 5(x + 6)

Reorder the terms:
24 + 8x = 5(6 + x)
24 + 8x = (6 * 5 + x * 5)
24 + 8x = (30 + 5x)

Solving
24 + 8x = 30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
24 + 8x + -5x = 30 + 5x + -5x

Combine like terms: 8x + -5x = 3x
24 + 3x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + 3x = 30 + 0
24 + 3x = 30

Add '-24' to each side of the equation.
24 + -24 + 3x = 30 + -24

Combine like terms: 24 + -24 = 0
0 + 3x = 30 + -24
3x = 30 + -24

Combine like terms: 30 + -24 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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