7x+(x+19)=14x+(9x-15)

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Solution for 7x+(x+19)=14x+(9x-15) equation:


Simplifying
7x + (x + 19) = 14x + (9x + -15)

Reorder the terms:
7x + (19 + x) = 14x + (9x + -15)

Remove parenthesis around (19 + x)
7x + 19 + x = 14x + (9x + -15)

Reorder the terms:
19 + 7x + x = 14x + (9x + -15)

Combine like terms: 7x + x = 8x
19 + 8x = 14x + (9x + -15)

Reorder the terms:
19 + 8x = 14x + (-15 + 9x)

Remove parenthesis around (-15 + 9x)
19 + 8x = 14x + -15 + 9x

Reorder the terms:
19 + 8x = -15 + 14x + 9x

Combine like terms: 14x + 9x = 23x
19 + 8x = -15 + 23x

Solving
19 + 8x = -15 + 23x

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
19 + 8x + -23x = -15 + 23x + -23x

Combine like terms: 8x + -23x = -15x
19 + -15x = -15 + 23x + -23x

Combine like terms: 23x + -23x = 0
19 + -15x = -15 + 0
19 + -15x = -15

Add '-19' to each side of the equation.
19 + -19 + -15x = -15 + -19

Combine like terms: 19 + -19 = 0
0 + -15x = -15 + -19
-15x = -15 + -19

Combine like terms: -15 + -19 = -34
-15x = -34

Divide each side by '-15'.
x = 2.266666667

Simplifying
x = 2.266666667

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