2(x+7)=5(x+7)

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


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

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

Reorder the terms:
14 + 2x = 5(7 + x)
14 + 2x = (7 * 5 + x * 5)
14 + 2x = (35 + 5x)

Solving
14 + 2x = 35 + 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 = 35 + 5x + -5x

Combine like terms: 2x + -5x = -3x
14 + -3x = 35 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -3x = 35 + 0
14 + -3x = 35

Add '-14' to each side of the equation.
14 + -14 + -3x = 35 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 35 + -14
-3x = 35 + -14

Combine like terms: 35 + -14 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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