3x-(-x+2)=10-7x

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Solution for 3x-(-x+2)=10-7x equation:


Simplifying
3x + -1(-1x + 2) = 10 + -7x

Reorder the terms:
3x + -1(2 + -1x) = 10 + -7x
3x + (2 * -1 + -1x * -1) = 10 + -7x
3x + (-2 + 1x) = 10 + -7x

Reorder the terms:
-2 + 3x + 1x = 10 + -7x

Combine like terms: 3x + 1x = 4x
-2 + 4x = 10 + -7x

Solving
-2 + 4x = 10 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-2 + 4x + 7x = 10 + -7x + 7x

Combine like terms: 4x + 7x = 11x
-2 + 11x = 10 + -7x + 7x

Combine like terms: -7x + 7x = 0
-2 + 11x = 10 + 0
-2 + 11x = 10

Add '2' to each side of the equation.
-2 + 2 + 11x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 11x = 10 + 2
11x = 10 + 2

Combine like terms: 10 + 2 = 12
11x = 12

Divide each side by '11'.
x = 1.090909091

Simplifying
x = 1.090909091

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