2x-3=6x+x-58

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Solution for 2x-3=6x+x-58 equation:


Simplifying
2x + -3 = 6x + x + -58

Reorder the terms:
-3 + 2x = 6x + x + -58

Reorder the terms:
-3 + 2x = -58 + 6x + x

Combine like terms: 6x + x = 7x
-3 + 2x = -58 + 7x

Solving
-3 + 2x = -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.
-3 + 2x + -7x = -58 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-3 + -5x = -58 + 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + -5x = -58 + 0
-3 + -5x = -58

Add '3' to each side of the equation.
-3 + 3 + -5x = -58 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = -58 + 3
-5x = -58 + 3

Combine like terms: -58 + 3 = -55
-5x = -55

Divide each side by '-5'.
x = 11

Simplifying
x = 11

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