2(3x+10)=4(x+6)

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Solution for 2(3x+10)=4(x+6) equation: 


Simplifying
2(3x + 10) = 4(x + 6)

Reorder the terms:
2(10 + 3x) = 4(x + 6)
(10 * 2 + 3x * 2) = 4(x + 6)
(20 + 6x) = 4(x + 6)

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

Solving
20 + 6x = 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.
20 + 6x + -4x = 24 + 4x + -4x

Combine like terms: 6x + -4x = 2x
20 + 2x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + 2x = 24 + 0
20 + 2x = 24

Add '-20' to each side of the equation.
20 + -20 + 2x = 24 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 24 + -20
2x = 24 + -20

Combine like terms: 24 + -20 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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