-3(3x+7)=-3(2x+8)

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Solution for -3(3x+7)=-3(2x+8) equation: 


Simplifying
-3(3x + 7) = -3(2x + 8)

Reorder the terms:
-3(7 + 3x) = -3(2x + 8)
(7 * -3 + 3x * -3) = -3(2x + 8)
(-21 + -9x) = -3(2x + 8)

Reorder the terms:
-21 + -9x = -3(8 + 2x)
-21 + -9x = (8 * -3 + 2x * -3)
-21 + -9x = (-24 + -6x)

Solving
-21 + -9x = -24 + -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.
-21 + -9x + 6x = -24 + -6x + 6x

Combine like terms: -9x + 6x = -3x
-21 + -3x = -24 + -6x + 6x

Combine like terms: -6x + 6x = 0
-21 + -3x = -24 + 0
-21 + -3x = -24

Add '21' to each side of the equation.
-21 + 21 + -3x = -24 + 21

Combine like terms: -21 + 21 = 0
0 + -3x = -24 + 21
-3x = -24 + 21

Combine like terms: -24 + 21 = -3
-3x = -3

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

Simplifying
x = 1

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