x-[8-(3x+10)]=10

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Solution for x-[8-(3x+10)]=10 equation:


Simplifying
x + -1[8 + -1(3x + 10)] = 10

Reorder the terms:
x + -1[8 + -1(10 + 3x)] = 10
x + -1[8 + (10 * -1 + 3x * -1)] = 10
x + -1[8 + (-10 + -3x)] = 10

Combine like terms: 8 + -10 = -2
x + -1[-2 + -3x] = 10
x + [-2 * -1 + -3x * -1] = 10
x + [2 + 3x] = 10

Reorder the terms:
2 + x + 3x = 10

Combine like terms: x + 3x = 4x
2 + 4x = 10

Solving
2 + 4x = 10

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 4x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 10 + -2
4x = 10 + -2

Combine like terms: 10 + -2 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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