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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