5(x+1)=3(2x+3)+5

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Solution for 5(x+1)=3(2x+3)+5 equation: 


Simplifying
5(x + 1) = 3(2x + 3) + 5

Reorder the terms:
5(1 + x) = 3(2x + 3) + 5
(1 * 5 + x * 5) = 3(2x + 3) + 5
(5 + 5x) = 3(2x + 3) + 5

Reorder the terms:
5 + 5x = 3(3 + 2x) + 5
5 + 5x = (3 * 3 + 2x * 3) + 5
5 + 5x = (9 + 6x) + 5

Reorder the terms:
5 + 5x = 9 + 5 + 6x

Combine like terms: 9 + 5 = 14
5 + 5x = 14 + 6x

Solving
5 + 5x = 14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 5x + -6x = 14 + 6x + -6x

Combine like terms: 5x + -6x = -1x
5 + -1x = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -1x = 14 + 0
5 + -1x = 14

Add '-5' to each side of the equation.
5 + -5 + -1x = 14 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 14 + -5
-1x = 14 + -5

Combine like terms: 14 + -5 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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