4x+3=2x+x-3

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Solution for 4x+3=2x+x-3 equation:


Simplifying
4x + 3 = 2x + x + -3

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

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

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

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

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

Combine like terms: 3x + -3x = 0
3 + 1x = -3 + 0
3 + 1x = -3

Add '-3' to each side of the equation.
3 + -3 + 1x = -3 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = -3 + -3
1x = -3 + -3

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

Divide each side by '1'.
x = -6

Simplifying
x = -6

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