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

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


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

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

Reorder the terms:
35 + 14x = -9 + 4x + -1x

Combine like terms: 4x + -1x = 3x
35 + 14x = -9 + 3x

Solving
35 + 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.
35 + 14x + -3x = -9 + 3x + -3x

Combine like terms: 14x + -3x = 11x
35 + 11x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
35 + 11x = -9 + 0
35 + 11x = -9

Add '-35' to each side of the equation.
35 + -35 + 11x = -9 + -35

Combine like terms: 35 + -35 = 0
0 + 11x = -9 + -35
11x = -9 + -35

Combine like terms: -9 + -35 = -44
11x = -44

Divide each side by '11'.
x = -4

Simplifying
x = -4

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