6x+2(x+1)=3(x+6)+4

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Solution for 6x+2(x+1)=3(x+6)+4 equation: 


Simplifying
6x + 2(x + 1) = 3(x + 6) + 4

Reorder the terms:
6x + 2(1 + x) = 3(x + 6) + 4
6x + (1 * 2 + x * 2) = 3(x + 6) + 4
6x + (2 + 2x) = 3(x + 6) + 4

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

Combine like terms: 6x + 2x = 8x
2 + 8x = 3(x + 6) + 4

Reorder the terms:
2 + 8x = 3(6 + x) + 4
2 + 8x = (6 * 3 + x * 3) + 4
2 + 8x = (18 + 3x) + 4

Reorder the terms:
2 + 8x = 18 + 4 + 3x

Combine like terms: 18 + 4 = 22
2 + 8x = 22 + 3x

Solving
2 + 8x = 22 + 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.
2 + 8x + -3x = 22 + 3x + -3x

Combine like terms: 8x + -3x = 5x
2 + 5x = 22 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 5x = 22 + 0
2 + 5x = 22

Add '-2' to each side of the equation.
2 + -2 + 5x = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 22 + -2
5x = 22 + -2

Combine like terms: 22 + -2 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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