-7(x-3)=7(1-2x)

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Solution for -7(x-3)=7(1-2x) equation:


Simplifying
-7(x + -3) = 7(1 + -2x)

Reorder the terms:
-7(-3 + x) = 7(1 + -2x)
(-3 * -7 + x * -7) = 7(1 + -2x)
(21 + -7x) = 7(1 + -2x)
21 + -7x = (1 * 7 + -2x * 7)
21 + -7x = (7 + -14x)

Solving
21 + -7x = 7 + -14x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '7'.
x = -2

Simplifying
x = -2

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