4(3x-9)=8(x-1)

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Solution for 4(3x-9)=8(x-1) equation:


Simplifying
4(3x + -9) = 8(x + -1)

Reorder the terms:
4(-9 + 3x) = 8(x + -1)
(-9 * 4 + 3x * 4) = 8(x + -1)
(-36 + 12x) = 8(x + -1)

Reorder the terms:
-36 + 12x = 8(-1 + x)
-36 + 12x = (-1 * 8 + x * 8)
-36 + 12x = (-8 + 8x)

Solving
-36 + 12x = -8 + 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.
-36 + 12x + -8x = -8 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-36 + 4x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-36 + 4x = -8 + 0
-36 + 4x = -8

Add '36' to each side of the equation.
-36 + 36 + 4x = -8 + 36

Combine like terms: -36 + 36 = 0
0 + 4x = -8 + 36
4x = -8 + 36

Combine like terms: -8 + 36 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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