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

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


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

Reorder the terms:
5(3 + x) + x = 4(x + 5) + 3
(3 * 5 + x * 5) + x = 4(x + 5) + 3
(15 + 5x) + x = 4(x + 5) + 3

Combine like terms: 5x + x = 6x
15 + 6x = 4(x + 5) + 3

Reorder the terms:
15 + 6x = 4(5 + x) + 3
15 + 6x = (5 * 4 + x * 4) + 3
15 + 6x = (20 + 4x) + 3

Reorder the terms:
15 + 6x = 20 + 3 + 4x

Combine like terms: 20 + 3 = 23
15 + 6x = 23 + 4x

Solving
15 + 6x = 23 + 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.
15 + 6x + -4x = 23 + 4x + -4x

Combine like terms: 6x + -4x = 2x
15 + 2x = 23 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 2x = 23 + 0
15 + 2x = 23

Add '-15' to each side of the equation.
15 + -15 + 2x = 23 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 23 + -15
2x = 23 + -15

Combine like terms: 23 + -15 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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