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

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


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

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

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

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

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

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

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

Reorder the terms:
8 + 6x = 4(3 + x)
8 + 6x = (3 * 4 + x * 4)
8 + 6x = (12 + 4x)

Solving
8 + 6x = 12 + 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.
8 + 6x + -4x = 12 + 4x + -4x

Combine like terms: 6x + -4x = 2x
8 + 2x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 2x = 12 + 0
8 + 2x = 12

Add '-8' to each side of the equation.
8 + -8 + 2x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 12 + -8
2x = 12 + -8

Combine like terms: 12 + -8 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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