2(p-4)=7(p+3)

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Solution for 2(p-4)=7(p+3) equation:


Simplifying
2(p + -4) = 7(p + 3)

Reorder the terms:
2(-4 + p) = 7(p + 3)
(-4 * 2 + p * 2) = 7(p + 3)
(-8 + 2p) = 7(p + 3)

Reorder the terms:
-8 + 2p = 7(3 + p)
-8 + 2p = (3 * 7 + p * 7)
-8 + 2p = (21 + 7p)

Solving
-8 + 2p = 21 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
-8 + 2p + -7p = 21 + 7p + -7p

Combine like terms: 2p + -7p = -5p
-8 + -5p = 21 + 7p + -7p

Combine like terms: 7p + -7p = 0
-8 + -5p = 21 + 0
-8 + -5p = 21

Add '8' to each side of the equation.
-8 + 8 + -5p = 21 + 8

Combine like terms: -8 + 8 = 0
0 + -5p = 21 + 8
-5p = 21 + 8

Combine like terms: 21 + 8 = 29
-5p = 29

Divide each side by '-5'.
p = -5.8

Simplifying
p = -5.8

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