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

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


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

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

Reorder the terms:
-21 + -7x = -2(3 + x)
-21 + -7x = (3 * -2 + x * -2)
-21 + -7x = (-6 + -2x)

Solving
-21 + -7x = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-21 + -7x + 2x = -6 + -2x + 2x

Combine like terms: -7x + 2x = -5x
-21 + -5x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-21 + -5x = -6 + 0
-21 + -5x = -6

Add '21' to each side of the equation.
-21 + 21 + -5x = -6 + 21

Combine like terms: -21 + 21 = 0
0 + -5x = -6 + 21
-5x = -6 + 21

Combine like terms: -6 + 21 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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