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

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


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

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

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

Reorder the terms:
15 + 6x = 3(3 + x) + 7
15 + 6x = (3 * 3 + x * 3) + 7
15 + 6x = (9 + 3x) + 7

Reorder the terms:
15 + 6x = 9 + 7 + 3x

Combine like terms: 9 + 7 = 16
15 + 6x = 16 + 3x

Solving
15 + 6x = 16 + 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 + 6x + -3x = 16 + 3x + -3x

Combine like terms: 6x + -3x = 3x
15 + 3x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + 3x = 16 + 0
15 + 3x = 16

Add '-15' to each side of the equation.
15 + -15 + 3x = 16 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 16 + -15
3x = 16 + -15

Combine like terms: 16 + -15 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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