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

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


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

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

Reorder the terms:
-21 + 3x = 23 + -3(-2 + x)
-21 + 3x = 23 + (-2 * -3 + x * -3)
-21 + 3x = 23 + (6 + -3x)

Combine like terms: 23 + 6 = 29
-21 + 3x = 29 + -3x

Solving
-21 + 3x = 29 + -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 = 29 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-21 + 6x = 29 + -3x + 3x

Combine like terms: -3x + 3x = 0
-21 + 6x = 29 + 0
-21 + 6x = 29

Add '21' to each side of the equation.
-21 + 21 + 6x = 29 + 21

Combine like terms: -21 + 21 = 0
0 + 6x = 29 + 21
6x = 29 + 21

Combine like terms: 29 + 21 = 50
6x = 50

Divide each side by '6'.
x = 8.333333333

Simplifying
x = 8.333333333

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