3(3x-8)=2(4x-6)+2

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Solution for 3(3x-8)=2(4x-6)+2 equation:


Simplifying
3(3x + -8) = 2(4x + -6) + 2

Reorder the terms:
3(-8 + 3x) = 2(4x + -6) + 2
(-8 * 3 + 3x * 3) = 2(4x + -6) + 2
(-24 + 9x) = 2(4x + -6) + 2

Reorder the terms:
-24 + 9x = 2(-6 + 4x) + 2
-24 + 9x = (-6 * 2 + 4x * 2) + 2
-24 + 9x = (-12 + 8x) + 2

Reorder the terms:
-24 + 9x = -12 + 2 + 8x

Combine like terms: -12 + 2 = -10
-24 + 9x = -10 + 8x

Solving
-24 + 9x = -10 + 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.
-24 + 9x + -8x = -10 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-24 + 1x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-24 + 1x = -10 + 0
-24 + 1x = -10

Add '24' to each side of the equation.
-24 + 24 + 1x = -10 + 24

Combine like terms: -24 + 24 = 0
0 + 1x = -10 + 24
1x = -10 + 24

Combine like terms: -10 + 24 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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