x+7=6x-53

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Solution for x+7=6x-53 equation:


Simplifying
x + 7 = 6x + -53

Reorder the terms:
7 + x = 6x + -53

Reorder the terms:
7 + x = -53 + 6x

Solving
7 + x = -53 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7 + x + -6x = -53 + 6x + -6x

Combine like terms: x + -6x = -5x
7 + -5x = -53 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -5x = -53 + 0
7 + -5x = -53

Add '-7' to each side of the equation.
7 + -7 + -5x = -53 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -53 + -7
-5x = -53 + -7

Combine like terms: -53 + -7 = -60
-5x = -60

Divide each side by '-5'.
x = 12

Simplifying
x = 12

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