6x+10=13x-58

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Solution for 6x+10=13x-58 equation:


Simplifying
6x + 10 = 13x + -58

Reorder the terms:
10 + 6x = 13x + -58

Reorder the terms:
10 + 6x = -58 + 13x

Solving
10 + 6x = -58 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
10 + 6x + -13x = -58 + 13x + -13x

Combine like terms: 6x + -13x = -7x
10 + -7x = -58 + 13x + -13x

Combine like terms: 13x + -13x = 0
10 + -7x = -58 + 0
10 + -7x = -58

Add '-10' to each side of the equation.
10 + -10 + -7x = -58 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = -58 + -10
-7x = -58 + -10

Combine like terms: -58 + -10 = -68
-7x = -68

Divide each side by '-7'.
x = 9.714285714

Simplifying
x = 9.714285714

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