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

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


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

Reorder the terms:
4(-6 + x) = -2(6x + -5)
(-6 * 4 + x * 4) = -2(6x + -5)
(-24 + 4x) = -2(6x + -5)

Reorder the terms:
-24 + 4x = -2(-5 + 6x)
-24 + 4x = (-5 * -2 + 6x * -2)
-24 + 4x = (10 + -12x)

Solving
-24 + 4x = 10 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-24 + 4x + 12x = 10 + -12x + 12x

Combine like terms: 4x + 12x = 16x
-24 + 16x = 10 + -12x + 12x

Combine like terms: -12x + 12x = 0
-24 + 16x = 10 + 0
-24 + 16x = 10

Add '24' to each side of the equation.
-24 + 24 + 16x = 10 + 24

Combine like terms: -24 + 24 = 0
0 + 16x = 10 + 24
16x = 10 + 24

Combine like terms: 10 + 24 = 34
16x = 34

Divide each side by '16'.
x = 2.125

Simplifying
x = 2.125

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