5x+1=3(x+4)+5

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Solution for 5x+1=3(x+4)+5 equation:


Simplifying
5x + 1 = 3(x + 4) + 5

Reorder the terms:
1 + 5x = 3(x + 4) + 5

Reorder the terms:
1 + 5x = 3(4 + x) + 5
1 + 5x = (4 * 3 + x * 3) + 5
1 + 5x = (12 + 3x) + 5

Reorder the terms:
1 + 5x = 12 + 5 + 3x

Combine like terms: 12 + 5 = 17
1 + 5x = 17 + 3x

Solving
1 + 5x = 17 + 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.
1 + 5x + -3x = 17 + 3x + -3x

Combine like terms: 5x + -3x = 2x
1 + 2x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + 2x = 17 + 0
1 + 2x = 17

Add '-1' to each side of the equation.
1 + -1 + 2x = 17 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 17 + -1
2x = 17 + -1

Combine like terms: 17 + -1 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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