-4(x-4)=3(x-6)

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Solution for -4(x-4)=3(x-6) equation: 


Simplifying
-4(x + -4) = 3(x + -6)

Reorder the terms:
-4(-4 + x) = 3(x + -6)
(-4 * -4 + x * -4) = 3(x + -6)
(16 + -4x) = 3(x + -6)

Reorder the terms:
16 + -4x = 3(-6 + x)
16 + -4x = (-6 * 3 + x * 3)
16 + -4x = (-18 + 3x)

Solving
16 + -4x = -18 + 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.
16 + -4x + -3x = -18 + 3x + -3x

Combine like terms: -4x + -3x = -7x
16 + -7x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -7x = -18 + 0
16 + -7x = -18

Add '-16' to each side of the equation.
16 + -16 + -7x = -18 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = -18 + -16
-7x = -18 + -16

Combine like terms: -18 + -16 = -34
-7x = -34

Divide each side by '-7'.
x = 4.857142857

Simplifying
x = 4.857142857

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