5(x+5)+x=4(x+2)+6

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Solution for 5(x+5)+x=4(x+2)+6 equation: 


Simplifying
5(x + 5) + x = 4(x + 2) + 6

Reorder the terms:
5(5 + x) + x = 4(x + 2) + 6
(5 * 5 + x * 5) + x = 4(x + 2) + 6
(25 + 5x) + x = 4(x + 2) + 6

Combine like terms: 5x + x = 6x
25 + 6x = 4(x + 2) + 6

Reorder the terms:
25 + 6x = 4(2 + x) + 6
25 + 6x = (2 * 4 + x * 4) + 6
25 + 6x = (8 + 4x) + 6

Reorder the terms:
25 + 6x = 8 + 6 + 4x

Combine like terms: 8 + 6 = 14
25 + 6x = 14 + 4x

Solving
25 + 6x = 14 + 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.
25 + 6x + -4x = 14 + 4x + -4x

Combine like terms: 6x + -4x = 2x
25 + 2x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
25 + 2x = 14 + 0
25 + 2x = 14

Add '-25' to each side of the equation.
25 + -25 + 2x = 14 + -25

Combine like terms: 25 + -25 = 0
0 + 2x = 14 + -25
2x = 14 + -25

Combine like terms: 14 + -25 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

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