5(x+4)+2=3(x+7)+5

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Solution for 5(x+4)+2=3(x+7)+5 equation: 


Simplifying
5(x + 4) + 2 = 3(x + 7) + 5

Reorder the terms:
5(4 + x) + 2 = 3(x + 7) + 5
(4 * 5 + x * 5) + 2 = 3(x + 7) + 5
(20 + 5x) + 2 = 3(x + 7) + 5

Reorder the terms:
20 + 2 + 5x = 3(x + 7) + 5

Combine like terms: 20 + 2 = 22
22 + 5x = 3(x + 7) + 5

Reorder the terms:
22 + 5x = 3(7 + x) + 5
22 + 5x = (7 * 3 + x * 3) + 5
22 + 5x = (21 + 3x) + 5

Reorder the terms:
22 + 5x = 21 + 5 + 3x

Combine like terms: 21 + 5 = 26
22 + 5x = 26 + 3x

Solving
22 + 5x = 26 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
22 + 5x + -3x = 26 + 3x + -3x

Combine like terms: 5x + -3x = 2x
22 + 2x = 26 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + 2x = 26 + 0
22 + 2x = 26

Add '-22' to each side of the equation.
22 + -22 + 2x = 26 + -22

Combine like terms: 22 + -22 = 0
0 + 2x = 26 + -22
2x = 26 + -22

Combine like terms: 26 + -22 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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