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

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


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

Reorder the terms:
-8 + 2x = 3(3x + -4)

Reorder the terms:
-8 + 2x = 3(-4 + 3x)
-8 + 2x = (-4 * 3 + 3x * 3)
-8 + 2x = (-12 + 9x)

Solving
-8 + 2x = -12 + 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.
-8 + 2x + -9x = -12 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-8 + -7x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + -7x = -12 + 0
-8 + -7x = -12

Add '8' to each side of the equation.
-8 + 8 + -7x = -12 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = -12 + 8
-7x = -12 + 8

Combine like terms: -12 + 8 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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