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

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


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

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

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

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

Combine like terms: 6 + 2 = 8
8 + 4 + 4x + 3x + 2x = 5(2x + 2)

Combine like terms: 8 + 4 = 12
12 + 4x + 3x + 2x = 5(2x + 2)

Combine like terms: 4x + 3x = 7x
12 + 7x + 2x = 5(2x + 2)

Combine like terms: 7x + 2x = 9x
12 + 9x = 5(2x + 2)

Reorder the terms:
12 + 9x = 5(2 + 2x)
12 + 9x = (2 * 5 + 2x * 5)
12 + 9x = (10 + 10x)

Solving
12 + 9x = 10 + 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.
12 + 9x + -10x = 10 + 10x + -10x

Combine like terms: 9x + -10x = -1x
12 + -1x = 10 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -1x = 10 + 0
12 + -1x = 10

Add '-12' to each side of the equation.
12 + -12 + -1x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 10 + -12
-1x = 10 + -12

Combine like terms: 10 + -12 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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