7x-3=6(x-1)

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Solution for 7x-3=6(x-1) equation:


Simplifying
7x + -3 = 6(x + -1)

Reorder the terms:
-3 + 7x = 6(x + -1)

Reorder the terms:
-3 + 7x = 6(-1 + x)
-3 + 7x = (-1 * 6 + x * 6)
-3 + 7x = (-6 + 6x)

Solving
-3 + 7x = -6 + 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.
-3 + 7x + -6x = -6 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-3 + 1x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + 1x = -6 + 0
-3 + 1x = -6

Add '3' to each side of the equation.
-3 + 3 + 1x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -6 + 3
1x = -6 + 3

Combine like terms: -6 + 3 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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