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

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


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

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

Combine like terms: 5x + x = 6x
7 + 6x = 3(x + 5) + x + 3

Reorder the terms:
7 + 6x = 3(5 + x) + x + 3
7 + 6x = (5 * 3 + x * 3) + x + 3
7 + 6x = (15 + 3x) + x + 3

Reorder the terms:
7 + 6x = 15 + 3 + 3x + x

Combine like terms: 15 + 3 = 18
7 + 6x = 18 + 3x + x

Combine like terms: 3x + x = 4x
7 + 6x = 18 + 4x

Solving
7 + 6x = 18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + 6x + -4x = 18 + 4x + -4x

Combine like terms: 6x + -4x = 2x
7 + 2x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + 2x = 18 + 0
7 + 2x = 18

Add '-7' to each side of the equation.
7 + -7 + 2x = 18 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 18 + -7
2x = 18 + -7

Combine like terms: 18 + -7 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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