4x+3+3x+1=6x-14-3x-6

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Solution for 4x+3+3x+1=6x-14-3x-6 equation:


Simplifying
4x + 3 + 3x + 1 = 6x + -14 + -3x + -6

Reorder the terms:
3 + 1 + 4x + 3x = 6x + -14 + -3x + -6

Combine like terms: 3 + 1 = 4
4 + 4x + 3x = 6x + -14 + -3x + -6

Combine like terms: 4x + 3x = 7x
4 + 7x = 6x + -14 + -3x + -6

Reorder the terms:
4 + 7x = -14 + -6 + 6x + -3x

Combine like terms: -14 + -6 = -20
4 + 7x = -20 + 6x + -3x

Combine like terms: 6x + -3x = 3x
4 + 7x = -20 + 3x

Solving
4 + 7x = -20 + 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.
4 + 7x + -3x = -20 + 3x + -3x

Combine like terms: 7x + -3x = 4x
4 + 4x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 4x = -20 + 0
4 + 4x = -20

Add '-4' to each side of the equation.
4 + -4 + 4x = -20 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = -20 + -4
4x = -20 + -4

Combine like terms: -20 + -4 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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