3(x-7)=23-(3x+2)

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Solution for 3(x-7)=23-(3x+2) equation:


Simplifying
3(x + -7) = 23 + -1(3x + 2)

Reorder the terms:
3(-7 + x) = 23 + -1(3x + 2)
(-7 * 3 + x * 3) = 23 + -1(3x + 2)
(-21 + 3x) = 23 + -1(3x + 2)

Reorder the terms:
-21 + 3x = 23 + -1(2 + 3x)
-21 + 3x = 23 + (2 * -1 + 3x * -1)
-21 + 3x = 23 + (-2 + -3x)

Combine like terms: 23 + -2 = 21
-21 + 3x = 21 + -3x

Solving
-21 + 3x = 21 + -3x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: 21 + 21 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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