2(x+7)=5x-14

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Solution for 2(x+7)=5x-14 equation:


Simplifying
2(x + 7) = 5x + -14

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

Reorder the terms:
14 + 2x = -14 + 5x

Solving
14 + 2x = -14 + 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.
14 + 2x + -5x = -14 + 5x + -5x

Combine like terms: 2x + -5x = -3x
14 + -3x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -3x = -14 + 0
14 + -3x = -14

Add '-14' to each side of the equation.
14 + -14 + -3x = -14 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = -14 + -14
-3x = -14 + -14

Combine like terms: -14 + -14 = -28
-3x = -28

Divide each side by '-3'.
x = 9.333333333

Simplifying
x = 9.333333333

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