(3x-4)=8(x-9)

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Solution for (3x-4)=8(x-9) equation:


Simplifying
(3x + -4) = 8(x + -9)

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

Remove parenthesis around (-4 + 3x)
-4 + 3x = 8(x + -9)

Reorder the terms:
-4 + 3x = 8(-9 + x)
-4 + 3x = (-9 * 8 + x * 8)
-4 + 3x = (-72 + 8x)

Solving
-4 + 3x = -72 + 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.
-4 + 3x + -8x = -72 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-4 + -5x = -72 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -5x = -72 + 0
-4 + -5x = -72

Add '4' to each side of the equation.
-4 + 4 + -5x = -72 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = -72 + 4
-5x = -72 + 4

Combine like terms: -72 + 4 = -68
-5x = -68

Divide each side by '-5'.
x = 13.6

Simplifying
x = 13.6

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