3x-1-(x+2)=13-7x

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Solution for 3x-1-(x+2)=13-7x equation:


Simplifying
3x + -1 + -1(x + 2) = 13 + -7x

Reorder the terms:
3x + -1 + -1(2 + x) = 13 + -7x
3x + -1 + (2 * -1 + x * -1) = 13 + -7x
3x + -1 + (-2 + -1x) = 13 + -7x

Reorder the terms:
-1 + -2 + 3x + -1x = 13 + -7x

Combine like terms: -1 + -2 = -3
-3 + 3x + -1x = 13 + -7x

Combine like terms: 3x + -1x = 2x
-3 + 2x = 13 + -7x

Solving
-3 + 2x = 13 + -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.
-3 + 2x + 7x = 13 + -7x + 7x

Combine like terms: 2x + 7x = 9x
-3 + 9x = 13 + -7x + 7x

Combine like terms: -7x + 7x = 0
-3 + 9x = 13 + 0
-3 + 9x = 13

Add '3' to each side of the equation.
-3 + 3 + 9x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 9x = 13 + 3
9x = 13 + 3

Combine like terms: 13 + 3 = 16
9x = 16

Divide each side by '9'.
x = 1.777777778

Simplifying
x = 1.777777778

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