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

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


Simplifying
1x + 3(4 + 2x) + -1(3 + 1x) = 4 + 1(3x + 8) + 3(2 + 1) + 2
1x + (4 * 3 + 2x * 3) + -1(3 + 1x) = 4 + 1(3x + 8) + 3(2 + 1) + 2
1x + (12 + 6x) + -1(3 + 1x) = 4 + 1(3x + 8) + 3(2 + 1) + 2
1x + 12 + 6x + (3 * -1 + 1x * -1) = 4 + 1(3x + 8) + 3(2 + 1) + 2
1x + 12 + 6x + (-3 + -1x) = 4 + 1(3x + 8) + 3(2 + 1) + 2

Reorder the terms:
12 + -3 + 1x + 6x + -1x = 4 + 1(3x + 8) + 3(2 + 1) + 2

Combine like terms: 12 + -3 = 9
9 + 1x + 6x + -1x = 4 + 1(3x + 8) + 3(2 + 1) + 2

Combine like terms: 1x + 6x = 7x
9 + 7x + -1x = 4 + 1(3x + 8) + 3(2 + 1) + 2

Combine like terms: 7x + -1x = 6x
9 + 6x = 4 + 1(3x + 8) + 3(2 + 1) + 2

Reorder the terms:
9 + 6x = 4 + 1(8 + 3x) + 3(2 + 1) + 2
9 + 6x = 4 + (8 * 1 + 3x * 1) + 3(2 + 1) + 2
9 + 6x = 4 + (8 + 3x) + 3(2 + 1) + 2

Combine like terms: 2 + 1 = 3
9 + 6x = 4 + 8 + 3x + 3(3) + 2

Multiply 3 * 3
9 + 6x = 4 + 8 + 3x + 9 + 2

Reorder the terms:
9 + 6x = 4 + 8 + 9 + 2 + 3x

Combine like terms: 4 + 8 = 12
9 + 6x = 12 + 9 + 2 + 3x

Combine like terms: 12 + 9 = 21
9 + 6x = 21 + 2 + 3x

Combine like terms: 21 + 2 = 23
9 + 6x = 23 + 3x

Solving
9 + 6x = 23 + 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.
9 + 6x + -3x = 23 + 3x + -3x

Combine like terms: 6x + -3x = 3x
9 + 3x = 23 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 3x = 23 + 0
9 + 3x = 23

Add '-9' to each side of the equation.
9 + -9 + 3x = 23 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 23 + -9
3x = 23 + -9

Combine like terms: 23 + -9 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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