6x-13-3x=7x-6

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Solution for 6x-13-3x=7x-6 equation:


Simplifying
6x + -13 + -3x = 7x + -6

Reorder the terms:
-13 + 6x + -3x = 7x + -6

Combine like terms: 6x + -3x = 3x
-13 + 3x = 7x + -6

Reorder the terms:
-13 + 3x = -6 + 7x

Solving
-13 + 3x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-13 + 3x + -7x = -6 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-13 + -4x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-13 + -4x = -6 + 0
-13 + -4x = -6

Add '13' to each side of the equation.
-13 + 13 + -4x = -6 + 13

Combine like terms: -13 + 13 = 0
0 + -4x = -6 + 13
-4x = -6 + 13

Combine like terms: -6 + 13 = 7
-4x = 7

Divide each side by '-4'.
x = -1.75

Simplifying
x = -1.75

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