10-5(6-2x)=6-(16-20x)

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Solution for 10-5(6-2x)=6-(16-20x) equation:


Simplifying
10 + -5(6 + -2x) = 6 + -1(16 + -20x)
10 + (6 * -5 + -2x * -5) = 6 + -1(16 + -20x)
10 + (-30 + 10x) = 6 + -1(16 + -20x)

Combine like terms: 10 + -30 = -20
-20 + 10x = 6 + -1(16 + -20x)
-20 + 10x = 6 + (16 * -1 + -20x * -1)
-20 + 10x = 6 + (-16 + 20x)

Combine like terms: 6 + -16 = -10
-20 + 10x = -10 + 20x

Solving
-20 + 10x = -10 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-20 + 10x + -20x = -10 + 20x + -20x

Combine like terms: 10x + -20x = -10x
-20 + -10x = -10 + 20x + -20x

Combine like terms: 20x + -20x = 0
-20 + -10x = -10 + 0
-20 + -10x = -10

Add '20' to each side of the equation.
-20 + 20 + -10x = -10 + 20

Combine like terms: -20 + 20 = 0
0 + -10x = -10 + 20
-10x = -10 + 20

Combine like terms: -10 + 20 = 10
-10x = 10

Divide each side by '-10'.
x = -1

Simplifying
x = -1

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