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

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


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

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

Reorder the terms:
10 + 5x = 4(6 + x)
10 + 5x = (6 * 4 + x * 4)
10 + 5x = (24 + 4x)

Solving
10 + 5x = 24 + 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.
10 + 5x + -4x = 24 + 4x + -4x

Combine like terms: 5x + -4x = 1x
10 + 1x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + 1x = 24 + 0
10 + 1x = 24

Add '-10' to each side of the equation.
10 + -10 + 1x = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 24 + -10
1x = 24 + -10

Combine like terms: 24 + -10 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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