4(x-2)+x=5x+p

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Solution for 4(x-2)+x=5x+p equation:


Simplifying
4(x + -2) + x = 5x + p

Reorder the terms:
4(-2 + x) + x = 5x + p
(-2 * 4 + x * 4) + x = 5x + p
(-8 + 4x) + x = 5x + p

Combine like terms: 4x + x = 5x
-8 + 5x = 5x + p

Reorder the terms:
-8 + 5x = p + 5x

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

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

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

Solving
-8 = p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
-8 + -1p = p + -1p

Combine like terms: p + -1p = 0
-8 + -1p = 0

Add '8' to each side of the equation.
-8 + 8 + -1p = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1p = 0 + 8
-1p = 0 + 8

Combine like terms: 0 + 8 = 8
-1p = 8

Divide each side by '-1'.
p = -8

Simplifying
p = -8

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