3-(4x+1)=7+(3+2x)

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Solution for 3-(4x+1)=7+(3+2x) equation: 


Simplifying
3 + -1(4x + 1) = 7 + (3 + 2x)

Reorder the terms:
3 + -1(1 + 4x) = 7 + (3 + 2x)
3 + (1 * -1 + 4x * -1) = 7 + (3 + 2x)
3 + (-1 + -4x) = 7 + (3 + 2x)

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

Remove parenthesis around (3 + 2x)
2 + -4x = 7 + 3 + 2x

Combine like terms: 7 + 3 = 10
2 + -4x = 10 + 2x

Solving
2 + -4x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + -4x + -2x = 10 + 2x + -2x

Combine like terms: -4x + -2x = -6x
2 + -6x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -6x = 10 + 0
2 + -6x = 10

Add '-2' to each side of the equation.
2 + -2 + -6x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = 10 + -2
-6x = 10 + -2

Combine like terms: 10 + -2 = 8
-6x = 8

Divide each side by '-6'.
x = -1.333333333

Simplifying
x = -1.333333333

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