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

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Solution for 2(x-7)=5(x+3)-x equation:


Simplifying
2(x + -7) = 5(x + 3) + -1x

Reorder the terms:
2(-7 + x) = 5(x + 3) + -1x
(-7 * 2 + x * 2) = 5(x + 3) + -1x
(-14 + 2x) = 5(x + 3) + -1x

Reorder the terms:
-14 + 2x = 5(3 + x) + -1x
-14 + 2x = (3 * 5 + x * 5) + -1x
-14 + 2x = (15 + 5x) + -1x

Combine like terms: 5x + -1x = 4x
-14 + 2x = 15 + 4x

Solving
-14 + 2x = 15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-14 + 2x + -4x = 15 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-14 + -2x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + -2x = 15 + 0
-14 + -2x = 15

Add '14' to each side of the equation.
-14 + 14 + -2x = 15 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = 15 + 14
-2x = 15 + 14

Combine like terms: 15 + 14 = 29
-2x = 29

Divide each side by '-2'.
x = -14.5

Simplifying
x = -14.5

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