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

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Solution for 10(x+2)=6(x+4) equation: 


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

Reorder the terms:
10(2 + x) = 6(x + 4)
(2 * 10 + x * 10) = 6(x + 4)
(20 + 10x) = 6(x + 4)

Reorder the terms:
20 + 10x = 6(4 + x)
20 + 10x = (4 * 6 + x * 6)
20 + 10x = (24 + 6x)

Solving
20 + 10x = 24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + 10x + -6x = 24 + 6x + -6x

Combine like terms: 10x + -6x = 4x
20 + 4x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + 4x = 24 + 0
20 + 4x = 24

Add '-20' to each side of the equation.
20 + -20 + 4x = 24 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = 24 + -20
4x = 24 + -20

Combine like terms: 24 + -20 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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