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

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


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

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

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

Reorder the terms:
15 + 6x = 3(4 + x) + -5
15 + 6x = (4 * 3 + x * 3) + -5
15 + 6x = (12 + 3x) + -5

Reorder the terms:
15 + 6x = 12 + -5 + 3x

Combine like terms: 12 + -5 = 7
15 + 6x = 7 + 3x

Solving
15 + 6x = 7 + 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 = 7 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
15 + 3x = 7 + 0
15 + 3x = 7

Add '-15' to each side of the equation.
15 + -15 + 3x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 7 + -15
3x = 7 + -15

Combine like terms: 7 + -15 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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