3x+34=5x-10

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Solution for 3x+34=5x-10 equation:


Simplifying
3x + 34 = 5x + -10

Reorder the terms:
34 + 3x = 5x + -10

Reorder the terms:
34 + 3x = -10 + 5x

Solving
34 + 3x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
34 + 3x + -5x = -10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
34 + -2x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
34 + -2x = -10 + 0
34 + -2x = -10

Add '-34' to each side of the equation.
34 + -34 + -2x = -10 + -34

Combine like terms: 34 + -34 = 0
0 + -2x = -10 + -34
-2x = -10 + -34

Combine like terms: -10 + -34 = -44
-2x = -44

Divide each side by '-2'.
x = 22

Simplifying
x = 22

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