2(x+2)+4(x+1)=3x+8

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Solution for 2(x+2)+4(x+1)=3x+8 equation: 


Simplifying
2(x + 2) + 4(x + 1) = 3x + 8

Reorder the terms:
2(2 + x) + 4(x + 1) = 3x + 8
(2 * 2 + x * 2) + 4(x + 1) = 3x + 8
(4 + 2x) + 4(x + 1) = 3x + 8

Reorder the terms:
4 + 2x + 4(1 + x) = 3x + 8
4 + 2x + (1 * 4 + x * 4) = 3x + 8
4 + 2x + (4 + 4x) = 3x + 8

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

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

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

Reorder the terms:
8 + 6x = 8 + 3x

Add '-8' to each side of the equation.
8 + -8 + 6x = 8 + -8 + 3x

Combine like terms: 8 + -8 = 0
0 + 6x = 8 + -8 + 3x
6x = 8 + -8 + 3x

Combine like terms: 8 + -8 = 0
6x = 0 + 3x
6x = 3x

Solving
6x = 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.
6x + -3x = 3x + -3x

Combine like terms: 6x + -3x = 3x
3x = 3x + -3x

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

Divide each side by '3'.
x = 0

Simplifying
x = 0

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