6(x-4)=5+2(3-2x)

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Solution for 6(x-4)=5+2(3-2x) equation: 


Simplifying
6(x + -4) = 5 + 2(3 + -2x)

Reorder the terms:
6(-4 + x) = 5 + 2(3 + -2x)
(-4 * 6 + x * 6) = 5 + 2(3 + -2x)
(-24 + 6x) = 5 + 2(3 + -2x)
-24 + 6x = 5 + (3 * 2 + -2x * 2)
-24 + 6x = 5 + (6 + -4x)

Combine like terms: 5 + 6 = 11
-24 + 6x = 11 + -4x

Solving
-24 + 6x = 11 + -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 = 11 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-24 + 10x = 11 + -4x + 4x

Combine like terms: -4x + 4x = 0
-24 + 10x = 11 + 0
-24 + 10x = 11

Add '24' to each side of the equation.
-24 + 24 + 10x = 11 + 24

Combine like terms: -24 + 24 = 0
0 + 10x = 11 + 24
10x = 11 + 24

Combine like terms: 11 + 24 = 35
10x = 35

Divide each side by '10'.
x = 3.5

Simplifying
x = 3.5

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