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

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


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

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

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

Reorder the terms:
21 + -6x = -6 + x + 2x

Combine like terms: x + 2x = 3x
21 + -6x = -6 + 3x

Solving
21 + -6x = -6 + 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 + -6x + -3x = -6 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
21 + -9x = -6 + 0
21 + -9x = -6

Add '-21' to each side of the equation.
21 + -21 + -9x = -6 + -21

Combine like terms: 21 + -21 = 0
0 + -9x = -6 + -21
-9x = -6 + -21

Combine like terms: -6 + -21 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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