10x-34=5x+1

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Solution for 10x-34=5x+1 equation:


Simplifying
10x + -34 = 5x + 1

Reorder the terms:
-34 + 10x = 5x + 1

Reorder the terms:
-34 + 10x = 1 + 5x

Solving
-34 + 10x = 1 + 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 + 10x + -5x = 1 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-34 + 5x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-34 + 5x = 1 + 0
-34 + 5x = 1

Add '34' to each side of the equation.
-34 + 34 + 5x = 1 + 34

Combine like terms: -34 + 34 = 0
0 + 5x = 1 + 34
5x = 1 + 34

Combine like terms: 1 + 34 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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