(2x+1)+(x+1)+(3x-1)+(x-2)=164

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Solution for (2x+1)+(x+1)+(3x-1)+(x-2)=164 equation:


Simplifying
(2x + 1) + (x + 1) + (3x + -1) + (x + -2) = 164

Reorder the terms:
(1 + 2x) + (x + 1) + (3x + -1) + (x + -2) = 164

Remove parenthesis around (1 + 2x)
1 + 2x + (x + 1) + (3x + -1) + (x + -2) = 164

Reorder the terms:
1 + 2x + (1 + x) + (3x + -1) + (x + -2) = 164

Remove parenthesis around (1 + x)
1 + 2x + 1 + x + (3x + -1) + (x + -2) = 164

Reorder the terms:
1 + 2x + 1 + x + (-1 + 3x) + (x + -2) = 164

Remove parenthesis around (-1 + 3x)
1 + 2x + 1 + x + -1 + 3x + (x + -2) = 164

Reorder the terms:
1 + 2x + 1 + x + -1 + 3x + (-2 + x) = 164

Remove parenthesis around (-2 + x)
1 + 2x + 1 + x + -1 + 3x + -2 + x = 164

Reorder the terms:
1 + 1 + -1 + -2 + 2x + x + 3x + x = 164

Combine like terms: 1 + 1 = 2
2 + -1 + -2 + 2x + x + 3x + x = 164

Combine like terms: 2 + -1 = 1
1 + -2 + 2x + x + 3x + x = 164

Combine like terms: 1 + -2 = -1
-1 + 2x + x + 3x + x = 164

Combine like terms: 2x + x = 3x
-1 + 3x + 3x + x = 164

Combine like terms: 3x + 3x = 6x
-1 + 6x + x = 164

Combine like terms: 6x + x = 7x
-1 + 7x = 164

Solving
-1 + 7x = 164

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 7x = 164 + 1

Combine like terms: -1 + 1 = 0
0 + 7x = 164 + 1
7x = 164 + 1

Combine like terms: 164 + 1 = 165
7x = 165

Divide each side by '7'.
x = 23.57142857

Simplifying
x = 23.57142857

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