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

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


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

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

Combine like terms: 1 + 2 = 3
3 + 3 + 4 + 4x + 3x + 2x + x = (2x + 2)

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

Combine like terms: 6 + 4 = 10
10 + 4x + 3x + 2x + x = (2x + 2)

Combine like terms: 4x + 3x = 7x
10 + 7x + 2x + x = (2x + 2)

Combine like terms: 7x + 2x = 9x
10 + 9x + x = (2x + 2)

Combine like terms: 9x + x = 10x
10 + 10x = (2x + 2)

Reorder the terms:
10 + 10x = (2 + 2x)

Remove parenthesis around (2 + 2x)
10 + 10x = 2 + 2x

Solving
10 + 10x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + 10x + -2x = 2 + 2x + -2x

Combine like terms: 10x + -2x = 8x
10 + 8x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 8x = 2 + 0
10 + 8x = 2

Add '-10' to each side of the equation.
10 + -10 + 8x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = 2 + -10
8x = 2 + -10

Combine like terms: 2 + -10 = -8
8x = -8

Divide each side by '8'.
x = -1

Simplifying
x = -1

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