2(3x+7)=4x-5

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Solution for 2(3x+7)=4x-5 equation:


Simplifying
2(3x + 7) = 4x + -5

Reorder the terms:
2(7 + 3x) = 4x + -5
(7 * 2 + 3x * 2) = 4x + -5
(14 + 6x) = 4x + -5

Reorder the terms:
14 + 6x = -5 + 4x

Solving
14 + 6x = -5 + 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.
14 + 6x + -4x = -5 + 4x + -4x

Combine like terms: 6x + -4x = 2x
14 + 2x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + 2x = -5 + 0
14 + 2x = -5

Add '-14' to each side of the equation.
14 + -14 + 2x = -5 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = -5 + -14
2x = -5 + -14

Combine like terms: -5 + -14 = -19
2x = -19

Divide each side by '2'.
x = -9.5

Simplifying
x = -9.5

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