3(x-7)=2(x+9)

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Solution for 3(x-7)=2(x+9) equation:


Simplifying
3(x + -7) = 2(x + 9)

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

Reorder the terms:
-21 + 3x = 2(9 + x)
-21 + 3x = (9 * 2 + x * 2)
-21 + 3x = (18 + 2x)

Solving
-21 + 3x = 18 + 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 + 3x + -2x = 18 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-21 + 1x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + 1x = 18 + 0
-21 + 1x = 18

Add '21' to each side of the equation.
-21 + 21 + 1x = 18 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = 18 + 21
1x = 18 + 21

Combine like terms: 18 + 21 = 39
1x = 39

Divide each side by '1'.
x = 39

Simplifying
x = 39

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