8x-12(x-4)=3(x-5)

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Solution for 8x-12(x-4)=3(x-5) equation: 


Simplifying
8x + -12(x + -4) = 3(x + -5)

Reorder the terms:
8x + -12(-4 + x) = 3(x + -5)
8x + (-4 * -12 + x * -12) = 3(x + -5)
8x + (48 + -12x) = 3(x + -5)

Reorder the terms:
48 + 8x + -12x = 3(x + -5)

Combine like terms: 8x + -12x = -4x
48 + -4x = 3(x + -5)

Reorder the terms:
48 + -4x = 3(-5 + x)
48 + -4x = (-5 * 3 + x * 3)
48 + -4x = (-15 + 3x)

Solving
48 + -4x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
48 + -4x + -3x = -15 + 3x + -3x

Combine like terms: -4x + -3x = -7x
48 + -7x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
48 + -7x = -15 + 0
48 + -7x = -15

Add '-48' to each side of the equation.
48 + -48 + -7x = -15 + -48

Combine like terms: 48 + -48 = 0
0 + -7x = -15 + -48
-7x = -15 + -48

Combine like terms: -15 + -48 = -63
-7x = -63

Divide each side by '-7'.
x = 9

Simplifying
x = 9

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