3x-2=-4x-13

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


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

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

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

Solving
-2 + 3x = -13 + -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.
-2 + 3x + 4x = -13 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-2 + 7x = -13 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 7x = -13 + 0
-2 + 7x = -13

Add '2' to each side of the equation.
-2 + 2 + 7x = -13 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = -13 + 2
7x = -13 + 2

Combine like terms: -13 + 2 = -11
7x = -11

Divide each side by '7'.
x = -1.571428571

Simplifying
x = -1.571428571

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