4x+13=6x-17

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Solution for 4x+13=6x-17 equation:


Simplifying
4x + 13 = 6x + -17

Reorder the terms:
13 + 4x = 6x + -17

Reorder the terms:
13 + 4x = -17 + 6x

Solving
13 + 4x = -17 + 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.
13 + 4x + -6x = -17 + 6x + -6x

Combine like terms: 4x + -6x = -2x
13 + -2x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
13 + -2x = -17 + 0
13 + -2x = -17

Add '-13' to each side of the equation.
13 + -13 + -2x = -17 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = -17 + -13
-2x = -17 + -13

Combine like terms: -17 + -13 = -30
-2x = -30

Divide each side by '-2'.
x = 15

Simplifying
x = 15

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