2(x+7)+11=5(x+4)+14

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Solution for 2(x+7)+11=5(x+4)+14 equation:


Simplifying
2(x + 7) + 11 = 5(x + 4) + 14

Reorder the terms:
2(7 + x) + 11 = 5(x + 4) + 14
(7 * 2 + x * 2) + 11 = 5(x + 4) + 14
(14 + 2x) + 11 = 5(x + 4) + 14

Reorder the terms:
14 + 11 + 2x = 5(x + 4) + 14

Combine like terms: 14 + 11 = 25
25 + 2x = 5(x + 4) + 14

Reorder the terms:
25 + 2x = 5(4 + x) + 14
25 + 2x = (4 * 5 + x * 5) + 14
25 + 2x = (20 + 5x) + 14

Reorder the terms:
25 + 2x = 20 + 14 + 5x

Combine like terms: 20 + 14 = 34
25 + 2x = 34 + 5x

Solving
25 + 2x = 34 + 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.
25 + 2x + -5x = 34 + 5x + -5x

Combine like terms: 2x + -5x = -3x
25 + -3x = 34 + 5x + -5x

Combine like terms: 5x + -5x = 0
25 + -3x = 34 + 0
25 + -3x = 34

Add '-25' to each side of the equation.
25 + -25 + -3x = 34 + -25

Combine like terms: 25 + -25 = 0
0 + -3x = 34 + -25
-3x = 34 + -25

Combine like terms: 34 + -25 = 9
-3x = 9

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

Simplifying
x = -3

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