3x+4x+6=4x-3

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


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

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

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

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

Solving
6 + 7x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 7x + -4x = -3 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
6 + 3x = -3 + 0
6 + 3x = -3

Add '-6' to each side of the equation.
6 + -6 + 3x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -3 + -6
3x = -3 + -6

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

Divide each side by '3'.
x = -3

Simplifying
x = -3

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