4x+1+3x+2+2x+3+4=5(2x+2)

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Solution for 4x+1+3x+2+2x+3+4=5(2x+2) equation:


Simplifying
4x + 1 + 3x + 2 + 2x + 3 + 4 = 5(2x + 2)

Reorder the terms:
1 + 2 + 3 + 4 + 4x + 3x + 2x = 5(2x + 2)

Combine like terms: 1 + 2 = 3
3 + 3 + 4 + 4x + 3x + 2x = 5(2x + 2)

Combine like terms: 3 + 3 = 6
6 + 4 + 4x + 3x + 2x = 5(2x + 2)

Combine like terms: 6 + 4 = 10
10 + 4x + 3x + 2x = 5(2x + 2)

Combine like terms: 4x + 3x = 7x
10 + 7x + 2x = 5(2x + 2)

Combine like terms: 7x + 2x = 9x
10 + 9x = 5(2x + 2)

Reorder the terms:
10 + 9x = 5(2 + 2x)
10 + 9x = (2 * 5 + 2x * 5)
10 + 9x = (10 + 10x)

Add '-10' to each side of the equation.
10 + -10 + 9x = 10 + -10 + 10x

Combine like terms: 10 + -10 = 0
0 + 9x = 10 + -10 + 10x
9x = 10 + -10 + 10x

Combine like terms: 10 + -10 = 0
9x = 0 + 10x
9x = 10x

Solving
9x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
9x + -10x = 10x + -10x

Combine like terms: 9x + -10x = -1x
-1x = 10x + -10x

Combine like terms: 10x + -10x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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