2(p+3)-7x=23-5(x+3x)

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Solution for 2(p+3)-7x=23-5(x+3x) equation:


Simplifying
2(p + 3) + -7x = 23 + -5(x + 3x)

Reorder the terms:
2(3 + p) + -7x = 23 + -5(x + 3x)
(3 * 2 + p * 2) + -7x = 23 + -5(x + 3x)
(6 + 2p) + -7x = 23 + -5(x + 3x)

Combine like terms: x + 3x = 4x
6 + 2p + -7x = 23 + -5(4x)

Remove parenthesis around (4x)
6 + 2p + -7x = 23 + -5 * 4x

Multiply -5 * 4
6 + 2p + -7x = 23 + -20x

Solving
6 + 2p + -7x = 23 + -20x

Solving for variable 'p'.

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

Add '-6' to each side of the equation.
6 + 2p + -6 + -7x = 23 + -6 + -20x

Reorder the terms:
6 + -6 + 2p + -7x = 23 + -6 + -20x

Combine like terms: 6 + -6 = 0
0 + 2p + -7x = 23 + -6 + -20x
2p + -7x = 23 + -6 + -20x

Combine like terms: 23 + -6 = 17
2p + -7x = 17 + -20x

Add '7x' to each side of the equation.
2p + -7x + 7x = 17 + -20x + 7x

Combine like terms: -7x + 7x = 0
2p + 0 = 17 + -20x + 7x
2p = 17 + -20x + 7x

Combine like terms: -20x + 7x = -13x
2p = 17 + -13x

Divide each side by '2'.
p = 8.5 + -6.5x

Simplifying
p = 8.5 + -6.5x

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