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

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


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

Reorder the terms:
6(5 + x) + x = 4(x + 4) + -5
(5 * 6 + x * 6) + x = 4(x + 4) + -5
(30 + 6x) + x = 4(x + 4) + -5

Combine like terms: 6x + x = 7x
30 + 7x = 4(x + 4) + -5

Reorder the terms:
30 + 7x = 4(4 + x) + -5
30 + 7x = (4 * 4 + x * 4) + -5
30 + 7x = (16 + 4x) + -5

Reorder the terms:
30 + 7x = 16 + -5 + 4x

Combine like terms: 16 + -5 = 11
30 + 7x = 11 + 4x

Solving
30 + 7x = 11 + 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.
30 + 7x + -4x = 11 + 4x + -4x

Combine like terms: 7x + -4x = 3x
30 + 3x = 11 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + 3x = 11 + 0
30 + 3x = 11

Add '-30' to each side of the equation.
30 + -30 + 3x = 11 + -30

Combine like terms: 30 + -30 = 0
0 + 3x = 11 + -30
3x = 11 + -30

Combine like terms: 11 + -30 = -19
3x = -19

Divide each side by '3'.
x = -6.333333333

Simplifying
x = -6.333333333

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