6-3x+4=6x-13

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Solution for 6-3x+4=6x-13 equation:


Simplifying
6 + -3x + 4 = 6x + -13

Reorder the terms:
6 + 4 + -3x = 6x + -13

Combine like terms: 6 + 4 = 10
10 + -3x = 6x + -13

Reorder the terms:
10 + -3x = -13 + 6x

Solving
10 + -3x = -13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + -3x + -6x = -13 + 6x + -6x

Combine like terms: -3x + -6x = -9x
10 + -9x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -9x = -13 + 0
10 + -9x = -13

Add '-10' to each side of the equation.
10 + -10 + -9x = -13 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = -13 + -10
-9x = -13 + -10

Combine like terms: -13 + -10 = -23
-9x = -23

Divide each side by '-9'.
x = 2.555555556

Simplifying
x = 2.555555556

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