4x+(3x+2)-(6x+1)=4

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Solution for 4x+(3x+2)-(6x+1)=4 equation:


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

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

Remove parenthesis around (2 + 3x)
4x + 2 + 3x + -1(6x + 1) = 4

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

Reorder the terms:
2 + -1 + 4x + 3x + -6x = 4

Combine like terms: 2 + -1 = 1
1 + 4x + 3x + -6x = 4

Combine like terms: 4x + 3x = 7x
1 + 7x + -6x = 4

Combine like terms: 7x + -6x = 1x
1 + 1x = 4

Solving
1 + 1x = 4

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 + 1x = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 4 + -1
1x = 4 + -1

Combine like terms: 4 + -1 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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