7x-3=7-(7x-6)

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


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

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

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

Combine like terms: 7 + 6 = 13
-3 + 7x = 13 + -7x

Solving
-3 + 7x = 13 + -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 + 7x + 7x = 13 + -7x + 7x

Combine like terms: 7x + 7x = 14x
-3 + 14x = 13 + -7x + 7x

Combine like terms: -7x + 7x = 0
-3 + 14x = 13 + 0
-3 + 14x = 13

Add '3' to each side of the equation.
-3 + 3 + 14x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 14x = 13 + 3
14x = 13 + 3

Combine like terms: 13 + 3 = 16
14x = 16

Divide each side by '14'.
x = 1.142857143

Simplifying
x = 1.142857143

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