3x-2=-13x+5

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Solution for 3x-2=-13x+5 equation:


Simplifying
3x + -2 = -13x + 5

Reorder the terms:
-2 + 3x = -13x + 5

Reorder the terms:
-2 + 3x = 5 + -13x

Solving
-2 + 3x = 5 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
-2 + 3x + 13x = 5 + -13x + 13x

Combine like terms: 3x + 13x = 16x
-2 + 16x = 5 + -13x + 13x

Combine like terms: -13x + 13x = 0
-2 + 16x = 5 + 0
-2 + 16x = 5

Add '2' to each side of the equation.
-2 + 2 + 16x = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 16x = 5 + 2
16x = 5 + 2

Combine like terms: 5 + 2 = 7
16x = 7

Divide each side by '16'.
x = 0.4375

Simplifying
x = 0.4375

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