3(2x-7)=8x-9

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Solution for 3(2x-7)=8x-9 equation:


Simplifying
3(2x + -7) = 8x + -9

Reorder the terms:
3(-7 + 2x) = 8x + -9
(-7 * 3 + 2x * 3) = 8x + -9
(-21 + 6x) = 8x + -9

Reorder the terms:
-21 + 6x = -9 + 8x

Solving
-21 + 6x = -9 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-21 + 6x + -8x = -9 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-21 + -2x = -9 + 8x + -8x

Combine like terms: 8x + -8x = 0
-21 + -2x = -9 + 0
-21 + -2x = -9

Add '21' to each side of the equation.
-21 + 21 + -2x = -9 + 21

Combine like terms: -21 + 21 = 0
0 + -2x = -9 + 21
-2x = -9 + 21

Combine like terms: -9 + 21 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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