3-4x+1=-2x+13

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Solution for 3-4x+1=-2x+13 equation:


Simplifying
3 + -4x + 1 = -2x + 13

Reorder the terms:
3 + 1 + -4x = -2x + 13

Combine like terms: 3 + 1 = 4
4 + -4x = -2x + 13

Reorder the terms:
4 + -4x = 13 + -2x

Solving
4 + -4x = 13 + -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.
4 + -4x + 2x = 13 + -2x + 2x

Combine like terms: -4x + 2x = -2x
4 + -2x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + -2x = 13 + 0
4 + -2x = 13

Add '-4' to each side of the equation.
4 + -4 + -2x = 13 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 13 + -4
-2x = 13 + -4

Combine like terms: 13 + -4 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

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