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

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


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

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

Reorder the terms:
-20 + 5x = 6x + -2(4 + x)
-20 + 5x = 6x + (4 * -2 + x * -2)
-20 + 5x = 6x + (-8 + -2x)

Reorder the terms:
-20 + 5x = -8 + 6x + -2x

Combine like terms: 6x + -2x = 4x
-20 + 5x = -8 + 4x

Solving
-20 + 5x = -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.
-20 + 5x + -4x = -8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-20 + 1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + 1x = -8 + 0
-20 + 1x = -8

Add '20' to each side of the equation.
-20 + 20 + 1x = -8 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = -8 + 20
1x = -8 + 20

Combine like terms: -8 + 20 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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