5(x+3)+x=4(x+2)+2

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Solution for 5(x+3)+x=4(x+2)+2 equation: 


Simplifying
5(x + 3) + x = 4(x + 2) + 2

Reorder the terms:
5(3 + x) + x = 4(x + 2) + 2
(3 * 5 + x * 5) + x = 4(x + 2) + 2
(15 + 5x) + x = 4(x + 2) + 2

Combine like terms: 5x + x = 6x
15 + 6x = 4(x + 2) + 2

Reorder the terms:
15 + 6x = 4(2 + x) + 2
15 + 6x = (2 * 4 + x * 4) + 2
15 + 6x = (8 + 4x) + 2

Reorder the terms:
15 + 6x = 8 + 2 + 4x

Combine like terms: 8 + 2 = 10
15 + 6x = 10 + 4x

Solving
15 + 6x = 10 + 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 = 10 + 4x + -4x

Combine like terms: 6x + -4x = 2x
15 + 2x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 2x = 10 + 0
15 + 2x = 10

Add '-15' to each side of the equation.
15 + -15 + 2x = 10 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 10 + -15
2x = 10 + -15

Combine like terms: 10 + -15 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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