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

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


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

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

Reorder the terms:
8 + 6x = 6 + 5x

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

Combine like terms: 6x + -5x = 1x
8 + 1x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + 1x = 6 + 0
8 + 1x = 6

Add '-8' to each side of the equation.
8 + -8 + 1x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 6 + -8
1x = 6 + -8

Combine like terms: 6 + -8 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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