Five minus twice a number p equals six times another number q plus one. solve for p

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x=5

Step-by-step explanation:

19x + -18 = 7x + 1 + 10x + -9

Reorder the terms:

-18 + 19x = 7x + 1 + 10x + -9

Reorder the terms:

-18 + 19x = 1 + -9 + 7x + 10x

Combine like terms: 1 + -9 = -8

-18 + 19x = -8 + 7x + 10x

Combine like terms: 7x + 10x = 17x

-18 + 19x = -8 + 17x

Solving

-18 + 19x = -8 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.

-18 + 19x + -17x = -8 + 17x + -17x

Combine like terms: 19x + -17x = 2x

-18 + 2x = -8 + 17x + -17x

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

-18 + 2x = -8 + 0

-18 + 2x = -8

Add '18' to each side of the equation.

-18 + 18 + 2x = -8 + 18

Combine like terms: -18 + 18 = 0

0 + 2x = -8 + 18

2x = -8 + 18

Combine like terms: -8 + 18 = 10

2x = 10

Divide each side by '2'.

x = 5

Simplifying

x = 5