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

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


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

Reorder the terms:
-10 + 6x + 1x = 20 + -1(x + -2)

Combine like terms: 6x + 1x = 7x
-10 + 7x = 20 + -1(x + -2)

Reorder the terms:
-10 + 7x = 20 + -1(-2 + x)
-10 + 7x = 20 + (-2 * -1 + x * -1)
-10 + 7x = 20 + (2 + -1x)

Combine like terms: 20 + 2 = 22
-10 + 7x = 22 + -1x

Solving
-10 + 7x = 22 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-10 + 7x + x = 22 + -1x + x

Combine like terms: 7x + x = 8x
-10 + 8x = 22 + -1x + x

Combine like terms: -1x + x = 0
-10 + 8x = 22 + 0
-10 + 8x = 22

Add '10' to each side of the equation.
-10 + 10 + 8x = 22 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 22 + 10
8x = 22 + 10

Combine like terms: 22 + 10 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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