6(x+8)+x=4(x+5)+6

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Solution for 6(x+8)+x=4(x+5)+6 equation: 


Simplifying
6(x + 8) + x = 4(x + 5) + 6

Reorder the terms:
6(8 + x) + x = 4(x + 5) + 6
(8 * 6 + x * 6) + x = 4(x + 5) + 6
(48 + 6x) + x = 4(x + 5) + 6

Combine like terms: 6x + x = 7x
48 + 7x = 4(x + 5) + 6

Reorder the terms:
48 + 7x = 4(5 + x) + 6
48 + 7x = (5 * 4 + x * 4) + 6
48 + 7x = (20 + 4x) + 6

Reorder the terms:
48 + 7x = 20 + 6 + 4x

Combine like terms: 20 + 6 = 26
48 + 7x = 26 + 4x

Solving
48 + 7x = 26 + 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.
48 + 7x + -4x = 26 + 4x + -4x

Combine like terms: 7x + -4x = 3x
48 + 3x = 26 + 4x + -4x

Combine like terms: 4x + -4x = 0
48 + 3x = 26 + 0
48 + 3x = 26

Add '-48' to each side of the equation.
48 + -48 + 3x = 26 + -48

Combine like terms: 48 + -48 = 0
0 + 3x = 26 + -48
3x = 26 + -48

Combine like terms: 26 + -48 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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