3(4x-7)=9x-16

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Solution for 3(4x-7)=9x-16 equation:


Simplifying
3(4x + -7) = 9x + -16

Reorder the terms:
3(-7 + 4x) = 9x + -16
(-7 * 3 + 4x * 3) = 9x + -16
(-21 + 12x) = 9x + -16

Reorder the terms:
-21 + 12x = -16 + 9x

Solving
-21 + 12x = -16 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-21 + 12x + -9x = -16 + 9x + -9x

Combine like terms: 12x + -9x = 3x
-21 + 3x = -16 + 9x + -9x

Combine like terms: 9x + -9x = 0
-21 + 3x = -16 + 0
-21 + 3x = -16

Add '21' to each side of the equation.
-21 + 21 + 3x = -16 + 21

Combine like terms: -21 + 21 = 0
0 + 3x = -16 + 21
3x = -16 + 21

Combine like terms: -16 + 21 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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