4(x-9)=3(2x-8)

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Solution for 4(x-9)=3(2x-8) equation: 


Simplifying
4(x + -9) = 3(2x + -8)

Reorder the terms:
4(-9 + x) = 3(2x + -8)
(-9 * 4 + x * 4) = 3(2x + -8)
(-36 + 4x) = 3(2x + -8)

Reorder the terms:
-36 + 4x = 3(-8 + 2x)
-36 + 4x = (-8 * 3 + 2x * 3)
-36 + 4x = (-24 + 6x)

Solving
-36 + 4x = -24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-36 + 4x + -6x = -24 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-36 + -2x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-36 + -2x = -24 + 0
-36 + -2x = -24

Add '36' to each side of the equation.
-36 + 36 + -2x = -24 + 36

Combine like terms: -36 + 36 = 0
0 + -2x = -24 + 36
-2x = -24 + 36

Combine like terms: -24 + 36 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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