7(x+4)-9=2x+14

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Solution for 7(x+4)-9=2x+14 equation:


Simplifying
7(x + 4) + -9 = 2x + 14

Reorder the terms:
7(4 + x) + -9 = 2x + 14
(4 * 7 + x * 7) + -9 = 2x + 14
(28 + 7x) + -9 = 2x + 14

Reorder the terms:
28 + -9 + 7x = 2x + 14

Combine like terms: 28 + -9 = 19
19 + 7x = 2x + 14

Reorder the terms:
19 + 7x = 14 + 2x

Solving
19 + 7x = 14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
19 + 7x + -2x = 14 + 2x + -2x

Combine like terms: 7x + -2x = 5x
19 + 5x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
19 + 5x = 14 + 0
19 + 5x = 14

Add '-19' to each side of the equation.
19 + -19 + 5x = 14 + -19

Combine like terms: 19 + -19 = 0
0 + 5x = 14 + -19
5x = 14 + -19

Combine like terms: 14 + -19 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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