6(x+8)+x=3(x+2)+4

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Solution for 6(x+8)+x=3(x+2)+4 equation: 


Simplifying
6(x + 8) + x = 3(x + 2) + 4

Reorder the terms:
6(8 + x) + x = 3(x + 2) + 4
(8 * 6 + x * 6) + x = 3(x + 2) + 4
(48 + 6x) + x = 3(x + 2) + 4

Combine like terms: 6x + x = 7x
48 + 7x = 3(x + 2) + 4

Reorder the terms:
48 + 7x = 3(2 + x) + 4
48 + 7x = (2 * 3 + x * 3) + 4
48 + 7x = (6 + 3x) + 4

Reorder the terms:
48 + 7x = 6 + 4 + 3x

Combine like terms: 6 + 4 = 10
48 + 7x = 10 + 3x

Solving
48 + 7x = 10 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
48 + 7x + -3x = 10 + 3x + -3x

Combine like terms: 7x + -3x = 4x
48 + 4x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
48 + 4x = 10 + 0
48 + 4x = 10

Add '-48' to each side of the equation.
48 + -48 + 4x = 10 + -48

Combine like terms: 48 + -48 = 0
0 + 4x = 10 + -48
4x = 10 + -48

Combine like terms: 10 + -48 = -38
4x = -38

Divide each side by '4'.
x = -9.5

Simplifying
x = -9.5

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