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

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


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

Reorder the terms:
3(4 + x) + 5 = 5(x + 2) + 7
(4 * 3 + x * 3) + 5 = 5(x + 2) + 7
(12 + 3x) + 5 = 5(x + 2) + 7

Reorder the terms:
12 + 5 + 3x = 5(x + 2) + 7

Combine like terms: 12 + 5 = 17
17 + 3x = 5(x + 2) + 7

Reorder the terms:
17 + 3x = 5(2 + x) + 7
17 + 3x = (2 * 5 + x * 5) + 7
17 + 3x = (10 + 5x) + 7

Reorder the terms:
17 + 3x = 10 + 7 + 5x

Combine like terms: 10 + 7 = 17
17 + 3x = 17 + 5x

Add '-17' to each side of the equation.
17 + -17 + 3x = 17 + -17 + 5x

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

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

Solving
3x = 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.
3x + -5x = 5x + -5x

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

Combine like terms: 5x + -5x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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