-4(x-5)=2(x-6)

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Solution for -4(x-5)=2(x-6) equation:


Simplifying
-4(x + -5) = 2(x + -6)

Reorder the terms:
-4(-5 + x) = 2(x + -6)
(-5 * -4 + x * -4) = 2(x + -6)
(20 + -4x) = 2(x + -6)

Reorder the terms:
20 + -4x = 2(-6 + x)
20 + -4x = (-6 * 2 + x * 2)
20 + -4x = (-12 + 2x)

Solving
20 + -4x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
20 + -4x + -2x = -12 + 2x + -2x

Combine like terms: -4x + -2x = -6x
20 + -6x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -6x = -12 + 0
20 + -6x = -12

Add '-20' to each side of the equation.
20 + -20 + -6x = -12 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = -12 + -20
-6x = -12 + -20

Combine like terms: -12 + -20 = -32
-6x = -32

Divide each side by '-6'.
x = 5.333333333

Simplifying
x = 5.333333333

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