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

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Solution for x-(x+1)=10-(3x-2) equation:


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

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

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

Combine like terms: x + -1x = 0
-1 + 0 = 10 + -1(3x + -2)
-1 = 10 + -1(3x + -2)

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

Combine like terms: 10 + 2 = 12
-1 = 12 + -3x

Solving
-1 = 12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-1 + 3x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1 + 3x = 12 + 0
-1 + 3x = 12

Add '1' to each side of the equation.
-1 + 1 + 3x = 12 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 12 + 1
3x = 12 + 1

Combine like terms: 12 + 1 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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