5x+7+3(x-7)=x

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Solution for 5x+7+3(x-7)=x equation:


Simplifying
5x + 7 + 3(x + -7) = x

Reorder the terms:
5x + 7 + 3(-7 + x) = x
5x + 7 + (-7 * 3 + x * 3) = x
5x + 7 + (-21 + 3x) = x

Reorder the terms:
7 + -21 + 5x + 3x = x

Combine like terms: 7 + -21 = -14
-14 + 5x + 3x = x

Combine like terms: 5x + 3x = 8x
-14 + 8x = x

Solving
-14 + 8x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-14 + 8x + -1x = x + -1x

Combine like terms: 8x + -1x = 7x
-14 + 7x = x + -1x

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

Add '14' to each side of the equation.
-14 + 14 + 7x = 0 + 14

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

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

Divide each side by '7'.
x = 2

Simplifying
x = 2

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