3x+2=15x-34

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Solution for 3x+2=15x-34 equation:


Simplifying
3x + 2 = 15x + -34

Reorder the terms:
2 + 3x = 15x + -34

Reorder the terms:
2 + 3x = -34 + 15x

Solving
2 + 3x = -34 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
2 + 3x + -15x = -34 + 15x + -15x

Combine like terms: 3x + -15x = -12x
2 + -12x = -34 + 15x + -15x

Combine like terms: 15x + -15x = 0
2 + -12x = -34 + 0
2 + -12x = -34

Add '-2' to each side of the equation.
2 + -2 + -12x = -34 + -2

Combine like terms: 2 + -2 = 0
0 + -12x = -34 + -2
-12x = -34 + -2

Combine like terms: -34 + -2 = -36
-12x = -36

Divide each side by '-12'.
x = 3

Simplifying
x = 3

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