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

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


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

Reorder the terms:
2(5 + 3x) = 4x + -6
(5 * 2 + 3x * 2) = 4x + -6
(10 + 6x) = 4x + -6

Reorder the terms:
10 + 6x = -6 + 4x

Solving
10 + 6x = -6 + 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 + 6x + -4x = -6 + 4x + -4x

Combine like terms: 6x + -4x = 2x
10 + 2x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + 2x = -6 + 0
10 + 2x = -6

Add '-10' to each side of the equation.
10 + -10 + 2x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = -6 + -10
2x = -6 + -10

Combine like terms: -6 + -10 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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