4x-13=2x+19

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Solution for 4x-13=2x+19 equation:


Simplifying
4x + -13 = 2x + 19

Reorder the terms:
-13 + 4x = 2x + 19

Reorder the terms:
-13 + 4x = 19 + 2x

Solving
-13 + 4x = 19 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-13 + 4x + -2x = 19 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-13 + 2x = 19 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 2x = 19 + 0
-13 + 2x = 19

Add '13' to each side of the equation.
-13 + 13 + 2x = 19 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = 19 + 13
2x = 19 + 13

Combine like terms: 19 + 13 = 32
2x = 32

Divide each side by '2'.
x = 16

Simplifying
x = 16

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