6(x-4)=-4(x+3)+20

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Solution for 6(x-4)=-4(x+3)+20 equation: 


Simplifying
6(x + -4) = -4(x + 3) + 20

Reorder the terms:
6(-4 + x) = -4(x + 3) + 20
(-4 * 6 + x * 6) = -4(x + 3) + 20
(-24 + 6x) = -4(x + 3) + 20

Reorder the terms:
-24 + 6x = -4(3 + x) + 20
-24 + 6x = (3 * -4 + x * -4) + 20
-24 + 6x = (-12 + -4x) + 20

Reorder the terms:
-24 + 6x = -12 + 20 + -4x

Combine like terms: -12 + 20 = 8
-24 + 6x = 8 + -4x

Solving
-24 + 6x = 8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-24 + 6x + 4x = 8 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-24 + 10x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
-24 + 10x = 8 + 0
-24 + 10x = 8

Add '24' to each side of the equation.
-24 + 24 + 10x = 8 + 24

Combine like terms: -24 + 24 = 0
0 + 10x = 8 + 24
10x = 8 + 24

Combine like terms: 8 + 24 = 32
10x = 32

Divide each side by '10'.
x = 3.2

Simplifying
x = 3.2

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