13x-7(-2+x)=-x+30

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Solution for 13x-7(-2+x)=-x+30 equation:


Simplifying
13x + -7(-2 + x) = -1x + 30
13x + (-2 * -7 + x * -7) = -1x + 30
13x + (14 + -7x) = -1x + 30

Reorder the terms:
14 + 13x + -7x = -1x + 30

Combine like terms: 13x + -7x = 6x
14 + 6x = -1x + 30

Reorder the terms:
14 + 6x = 30 + -1x

Solving
14 + 6x = 30 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
14 + 6x + x = 30 + -1x + x

Combine like terms: 6x + x = 7x
14 + 7x = 30 + -1x + x

Combine like terms: -1x + x = 0
14 + 7x = 30 + 0
14 + 7x = 30

Add '-14' to each side of the equation.
14 + -14 + 7x = 30 + -14

Combine like terms: 14 + -14 = 0
0 + 7x = 30 + -14
7x = 30 + -14

Combine like terms: 30 + -14 = 16
7x = 16

Divide each side by '7'.
x = 2.285714286

Simplifying
x = 2.285714286

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