x-10=7x-58

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Solution for x-10=7x-58 equation:


Simplifying
x + -10 = 7x + -58

Reorder the terms:
-10 + x = 7x + -58

Reorder the terms:
-10 + x = -58 + 7x

Solving
-10 + x = -58 + 7x

Solving for variable 'x'.

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

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

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

Combine like terms: 7x + -7x = 0
-10 + -6x = -58 + 0
-10 + -6x = -58

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

Combine like terms: -10 + 10 = 0
0 + -6x = -58 + 10
-6x = -58 + 10

Combine like terms: -58 + 10 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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