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

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


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

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

Reorder the terms:
-7 + 7x = -7(3 + x)
-7 + 7x = (3 * -7 + x * -7)
-7 + 7x = (-21 + -7x)

Solving
-7 + 7x = -21 + -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.
-7 + 7x + 7x = -21 + -7x + 7x

Combine like terms: 7x + 7x = 14x
-7 + 14x = -21 + -7x + 7x

Combine like terms: -7x + 7x = 0
-7 + 14x = -21 + 0
-7 + 14x = -21

Add '7' to each side of the equation.
-7 + 7 + 14x = -21 + 7

Combine like terms: -7 + 7 = 0
0 + 14x = -21 + 7
14x = -21 + 7

Combine like terms: -21 + 7 = -14
14x = -14

Divide each side by '14'.
x = -1

Simplifying
x = -1

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