3x-(x-10)=(x+6)

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Solution for 3x-(x-10)=(x+6) equation:


Simplifying
3x + -1(x + -10) = (x + 6)

Reorder the terms:
3x + -1(-10 + x) = (x + 6)
3x + (-10 * -1 + x * -1) = (x + 6)
3x + (10 + -1x) = (x + 6)

Reorder the terms:
10 + 3x + -1x = (x + 6)

Combine like terms: 3x + -1x = 2x
10 + 2x = (x + 6)

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

Remove parenthesis around (6 + x)
10 + 2x = 6 + x

Solving
10 + 2x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + 2x + -1x = 6 + x + -1x

Combine like terms: 2x + -1x = 1x
10 + 1x = 6 + x + -1x

Combine like terms: x + -1x = 0
10 + 1x = 6 + 0
10 + 1x = 6

Add '-10' to each side of the equation.
10 + -10 + 1x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 6 + -10
1x = 6 + -10

Combine like terms: 6 + -10 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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