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

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


Simplifying
2(3x + 4) = 5(6 + -1x)

Reorder the terms:
2(4 + 3x) = 5(6 + -1x)
(4 * 2 + 3x * 2) = 5(6 + -1x)
(8 + 6x) = 5(6 + -1x)
8 + 6x = (6 * 5 + -1x * 5)
8 + 6x = (30 + -5x)

Solving
8 + 6x = 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.
8 + 6x + 5x = 30 + -5x + 5x

Combine like terms: 6x + 5x = 11x
8 + 11x = 30 + -5x + 5x

Combine like terms: -5x + 5x = 0
8 + 11x = 30 + 0
8 + 11x = 30

Add '-8' to each side of the equation.
8 + -8 + 11x = 30 + -8

Combine like terms: 8 + -8 = 0
0 + 11x = 30 + -8
11x = 30 + -8

Combine like terms: 30 + -8 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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