4x+3=2x-2

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


Simplifying
4x + 3 = 2x + -2

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

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

Solving
3 + 4x = -2 + 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.
3 + 4x + -2x = -2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
3 + 2x = -2 + 0
3 + 2x = -2

Add '-3' to each side of the equation.
3 + -3 + 2x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = -2 + -3
2x = -2 + -3

Combine like terms: -2 + -3 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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