2(4x-6)=3(3x-7)

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Solution for 2(4x-6)=3(3x-7) equation:


Simplifying
2(4x + -6) = 3(3x + -7)

Reorder the terms:
2(-6 + 4x) = 3(3x + -7)
(-6 * 2 + 4x * 2) = 3(3x + -7)
(-12 + 8x) = 3(3x + -7)

Reorder the terms:
-12 + 8x = 3(-7 + 3x)
-12 + 8x = (-7 * 3 + 3x * 3)
-12 + 8x = (-21 + 9x)

Solving
-12 + 8x = -21 + 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.
-12 + 8x + -9x = -21 + 9x + -9x

Combine like terms: 8x + -9x = -1x
-12 + -1x = -21 + 9x + -9x

Combine like terms: 9x + -9x = 0
-12 + -1x = -21 + 0
-12 + -1x = -21

Add '12' to each side of the equation.
-12 + 12 + -1x = -21 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = -21 + 12
-1x = -21 + 12

Combine like terms: -21 + 12 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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