1.6x-2=3x-13

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Solution for 1.6x-2=3x-13 equation:


Simplifying
1.6x + -2 = 3x + -13

Reorder the terms:
-2 + 1.6x = 3x + -13

Reorder the terms:
-2 + 1.6x = -13 + 3x

Solving
-2 + 1.6x = -13 + 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.
-2 + 1.6x + -3x = -13 + 3x + -3x

Combine like terms: 1.6x + -3x = -1.4x
-2 + -1.4x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -1.4x = -13 + 0
-2 + -1.4x = -13

Add '2' to each side of the equation.
-2 + 2 + -1.4x = -13 + 2

Combine like terms: -2 + 2 = 0
0 + -1.4x = -13 + 2
-1.4x = -13 + 2

Combine like terms: -13 + 2 = -11
-1.4x = -11

Divide each side by '-1.4'.
x = 7.857142857

Simplifying
x = 7.857142857

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