3x+38=13x-62

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Solution for 3x+38=13x-62 equation:


Simplifying
3x + 38 = 13x + -62

Reorder the terms:
38 + 3x = 13x + -62

Reorder the terms:
38 + 3x = -62 + 13x

Solving
38 + 3x = -62 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
38 + 3x + -13x = -62 + 13x + -13x

Combine like terms: 3x + -13x = -10x
38 + -10x = -62 + 13x + -13x

Combine like terms: 13x + -13x = 0
38 + -10x = -62 + 0
38 + -10x = -62

Add '-38' to each side of the equation.
38 + -38 + -10x = -62 + -38

Combine like terms: 38 + -38 = 0
0 + -10x = -62 + -38
-10x = -62 + -38

Combine like terms: -62 + -38 = -100
-10x = -100

Divide each side by '-10'.
x = 10

Simplifying
x = 10

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