4x+(12-x)-(2*5+2x)=10

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Solution for 4x+(12-x)-(2*5+2x)=10 equation: 


Simplifying
4x + (12 + -1x) + -1(2 * 5 + 2x) = 10

Remove parenthesis around (12 + -1x)
4x + 12 + -1x + -1(2 * 5 + 2x) = 10

Multiply 2 * 5
4x + 12 + -1x + -1(10 + 2x) = 10
4x + 12 + -1x + (10 * -1 + 2x * -1) = 10
4x + 12 + -1x + (-10 + -2x) = 10

Reorder the terms:
12 + -10 + 4x + -1x + -2x = 10

Combine like terms: 12 + -10 = 2
2 + 4x + -1x + -2x = 10

Combine like terms: 4x + -1x = 3x
2 + 3x + -2x = 10

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

Solving
2 + 1x = 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 + 1x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 10 + -2
1x = 10 + -2

Combine like terms: 10 + -2 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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