-25p-6(2-5p)=3(p-2)-4

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Solution for -25p-6(2-5p)=3(p-2)-4 equation:


Simplifying
-25p + -6(2 + -5p) = 3(p + -2) + -4
-25p + (2 * -6 + -5p * -6) = 3(p + -2) + -4
-25p + (-12 + 30p) = 3(p + -2) + -4

Reorder the terms:
-12 + -25p + 30p = 3(p + -2) + -4

Combine like terms: -25p + 30p = 5p
-12 + 5p = 3(p + -2) + -4

Reorder the terms:
-12 + 5p = 3(-2 + p) + -4
-12 + 5p = (-2 * 3 + p * 3) + -4
-12 + 5p = (-6 + 3p) + -4

Reorder the terms:
-12 + 5p = -6 + -4 + 3p

Combine like terms: -6 + -4 = -10
-12 + 5p = -10 + 3p

Solving
-12 + 5p = -10 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
-12 + 5p + -3p = -10 + 3p + -3p

Combine like terms: 5p + -3p = 2p
-12 + 2p = -10 + 3p + -3p

Combine like terms: 3p + -3p = 0
-12 + 2p = -10 + 0
-12 + 2p = -10

Add '12' to each side of the equation.
-12 + 12 + 2p = -10 + 12

Combine like terms: -12 + 12 = 0
0 + 2p = -10 + 12
2p = -10 + 12

Combine like terms: -10 + 12 = 2
2p = 2

Divide each side by '2'.
p = 1

Simplifying
p = 1

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