6(x-6)=7x-1

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Solution for 6(x-6)=7x-1 equation:


Simplifying
6(x + -6) = 7x + -1

Reorder the terms:
6(-6 + x) = 7x + -1
(-6 * 6 + x * 6) = 7x + -1
(-36 + 6x) = 7x + -1

Reorder the terms:
-36 + 6x = -1 + 7x

Solving
-36 + 6x = -1 + 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.
-36 + 6x + -7x = -1 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-36 + -1x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-36 + -1x = -1 + 0
-36 + -1x = -1

Add '36' to each side of the equation.
-36 + 36 + -1x = -1 + 36

Combine like terms: -36 + 36 = 0
0 + -1x = -1 + 36
-1x = -1 + 36

Combine like terms: -1 + 36 = 35
-1x = 35

Divide each side by '-1'.
x = -35

Simplifying
x = -35

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