2-7(2x+5)=4x-9-x

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Solution for 2-7(2x+5)=4x-9-x equation:


Simplifying
2 + -7(2x + 5) = 4x + -9 + -1x

Reorder the terms:
2 + -7(5 + 2x) = 4x + -9 + -1x
2 + (5 * -7 + 2x * -7) = 4x + -9 + -1x
2 + (-35 + -14x) = 4x + -9 + -1x

Combine like terms: 2 + -35 = -33
-33 + -14x = 4x + -9 + -1x

Reorder the terms:
-33 + -14x = -9 + 4x + -1x

Combine like terms: 4x + -1x = 3x
-33 + -14x = -9 + 3x

Solving
-33 + -14x = -9 + 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.
-33 + -14x + -3x = -9 + 3x + -3x

Combine like terms: -14x + -3x = -17x
-33 + -17x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-33 + -17x = -9 + 0
-33 + -17x = -9

Add '33' to each side of the equation.
-33 + 33 + -17x = -9 + 33

Combine like terms: -33 + 33 = 0
0 + -17x = -9 + 33
-17x = -9 + 33

Combine like terms: -9 + 33 = 24
-17x = 24

Divide each side by '-17'.
x = -1.411764706

Simplifying
x = -1.411764706

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