4x+2=9x-38

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Solution for 4x+2=9x-38 equation:


Simplifying
4x + 2 = 9x + -38

Reorder the terms:
2 + 4x = 9x + -38

Reorder the terms:
2 + 4x = -38 + 9x

Solving
2 + 4x = -38 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2 + 4x + -9x = -38 + 9x + -9x

Combine like terms: 4x + -9x = -5x
2 + -5x = -38 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -5x = -38 + 0
2 + -5x = -38

Add '-2' to each side of the equation.
2 + -2 + -5x = -38 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -38 + -2
-5x = -38 + -2

Combine like terms: -38 + -2 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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