3x+34=10x-31

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Solution for 3x+34=10x-31 equation:


Simplifying
3x + 34 = 10x + -31

Reorder the terms:
34 + 3x = 10x + -31

Reorder the terms:
34 + 3x = -31 + 10x

Solving
34 + 3x = -31 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
34 + 3x + -10x = -31 + 10x + -10x

Combine like terms: 3x + -10x = -7x
34 + -7x = -31 + 10x + -10x

Combine like terms: 10x + -10x = 0
34 + -7x = -31 + 0
34 + -7x = -31

Add '-34' to each side of the equation.
34 + -34 + -7x = -31 + -34

Combine like terms: 34 + -34 = 0
0 + -7x = -31 + -34
-7x = -31 + -34

Combine like terms: -31 + -34 = -65
-7x = -65

Divide each side by '-7'.
x = 9.285714286

Simplifying
x = 9.285714286

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