4x-6=3x+13

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


Simplifying
4x + -6 = 3x + 13

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

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

Solving
-6 + 4x = 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.
-6 + 4x + -3x = 13 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-6 + 1x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 1x = 13 + 0
-6 + 1x = 13

Add '6' to each side of the equation.
-6 + 6 + 1x = 13 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 13 + 6
1x = 13 + 6

Combine like terms: 13 + 6 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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