6(x+8)+x=4(x+3)+6

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Solution for 6(x+8)+x=4(x+3)+6 equation: 


Simplifying
6(x + 8) + x = 4(x + 3) + 6

Reorder the terms:
6(8 + x) + x = 4(x + 3) + 6
(8 * 6 + x * 6) + x = 4(x + 3) + 6
(48 + 6x) + x = 4(x + 3) + 6

Combine like terms: 6x + x = 7x
48 + 7x = 4(x + 3) + 6

Reorder the terms:
48 + 7x = 4(3 + x) + 6
48 + 7x = (3 * 4 + x * 4) + 6
48 + 7x = (12 + 4x) + 6

Reorder the terms:
48 + 7x = 12 + 6 + 4x

Combine like terms: 12 + 6 = 18
48 + 7x = 18 + 4x

Solving
48 + 7x = 18 + 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 = 18 + 4x + -4x

Combine like terms: 7x + -4x = 3x
48 + 3x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
48 + 3x = 18 + 0
48 + 3x = 18

Add '-48' to each side of the equation.
48 + -48 + 3x = 18 + -48

Combine like terms: 48 + -48 = 0
0 + 3x = 18 + -48
3x = 18 + -48

Combine like terms: 18 + -48 = -30
3x = -30

Divide each side by '3'.
x = -10

Simplifying
x = -10

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