2x+34=10x-13

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Solution for 2x+34=10x-13 equation:


Simplifying
2x + 34 = 10x + -13

Reorder the terms:
34 + 2x = 10x + -13

Reorder the terms:
34 + 2x = -13 + 10x

Solving
34 + 2x = -13 + 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 + 2x + -10x = -13 + 10x + -10x

Combine like terms: 2x + -10x = -8x
34 + -8x = -13 + 10x + -10x

Combine like terms: 10x + -10x = 0
34 + -8x = -13 + 0
34 + -8x = -13

Add '-34' to each side of the equation.
34 + -34 + -8x = -13 + -34

Combine like terms: 34 + -34 = 0
0 + -8x = -13 + -34
-8x = -13 + -34

Combine like terms: -13 + -34 = -47
-8x = -47

Divide each side by '-8'.
x = 5.875

Simplifying
x = 5.875

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