9-2(3x-7)=3x-4

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Solution for 9-2(3x-7)=3x-4 equation:


Simplifying
9 + -2(3x + -7) = 3x + -4

Reorder the terms:
9 + -2(-7 + 3x) = 3x + -4
9 + (-7 * -2 + 3x * -2) = 3x + -4
9 + (14 + -6x) = 3x + -4

Combine like terms: 9 + 14 = 23
23 + -6x = 3x + -4

Reorder the terms:
23 + -6x = -4 + 3x

Solving
23 + -6x = -4 + 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.
23 + -6x + -3x = -4 + 3x + -3x

Combine like terms: -6x + -3x = -9x
23 + -9x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
23 + -9x = -4 + 0
23 + -9x = -4

Add '-23' to each side of the equation.
23 + -23 + -9x = -4 + -23

Combine like terms: 23 + -23 = 0
0 + -9x = -4 + -23
-9x = -4 + -23

Combine like terms: -4 + -23 = -27
-9x = -27

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

Simplifying
x = 3

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