2x+5(x+3)=3(x+6)+5

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Solution for 2x+5(x+3)=3(x+6)+5 equation: 


Simplifying
2x + 5(x + 3) = 3(x + 6) + 5

Reorder the terms:
2x + 5(3 + x) = 3(x + 6) + 5
2x + (3 * 5 + x * 5) = 3(x + 6) + 5
2x + (15 + 5x) = 3(x + 6) + 5

Reorder the terms:
15 + 2x + 5x = 3(x + 6) + 5

Combine like terms: 2x + 5x = 7x
15 + 7x = 3(x + 6) + 5

Reorder the terms:
15 + 7x = 3(6 + x) + 5
15 + 7x = (6 * 3 + x * 3) + 5
15 + 7x = (18 + 3x) + 5

Reorder the terms:
15 + 7x = 18 + 5 + 3x

Combine like terms: 18 + 5 = 23
15 + 7x = 23 + 3x

Solving
15 + 7x = 23 + 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.
15 + 7x + -3x = 23 + 3x + -3x

Combine like terms: 7x + -3x = 4x
15 + 4x = 23 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + 4x = 23 + 0
15 + 4x = 23

Add '-15' to each side of the equation.
15 + -15 + 4x = 23 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 23 + -15
4x = 23 + -15

Combine like terms: 23 + -15 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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