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

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


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

Reorder the terms:
2(5 + x) + 4 = 5(x + 2) + 7
(5 * 2 + x * 2) + 4 = 5(x + 2) + 7
(10 + 2x) + 4 = 5(x + 2) + 7

Reorder the terms:
10 + 4 + 2x = 5(x + 2) + 7

Combine like terms: 10 + 4 = 14
14 + 2x = 5(x + 2) + 7

Reorder the terms:
14 + 2x = 5(2 + x) + 7
14 + 2x = (2 * 5 + x * 5) + 7
14 + 2x = (10 + 5x) + 7

Reorder the terms:
14 + 2x = 10 + 7 + 5x

Combine like terms: 10 + 7 = 17
14 + 2x = 17 + 5x

Solving
14 + 2x = 17 + 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 = 17 + 5x + -5x

Combine like terms: 2x + -5x = -3x
14 + -3x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -3x = 17 + 0
14 + -3x = 17

Add '-14' to each side of the equation.
14 + -14 + -3x = 17 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 17 + -14
-3x = 17 + -14

Combine like terms: 17 + -14 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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