x+2(x-16)=5(x-5)+1

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Solution for x+2(x-16)=5(x-5)+1 equation:


Simplifying
x + 2(x + -16) = 5(x + -5) + 1

Reorder the terms:
x + 2(-16 + x) = 5(x + -5) + 1
x + (-16 * 2 + x * 2) = 5(x + -5) + 1
x + (-32 + 2x) = 5(x + -5) + 1

Reorder the terms:
-32 + x + 2x = 5(x + -5) + 1

Combine like terms: x + 2x = 3x
-32 + 3x = 5(x + -5) + 1

Reorder the terms:
-32 + 3x = 5(-5 + x) + 1
-32 + 3x = (-5 * 5 + x * 5) + 1
-32 + 3x = (-25 + 5x) + 1

Reorder the terms:
-32 + 3x = -25 + 1 + 5x

Combine like terms: -25 + 1 = -24
-32 + 3x = -24 + 5x

Solving
-32 + 3x = -24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-32 + 3x + -5x = -24 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-32 + -2x = -24 + 5x + -5x

Combine like terms: 5x + -5x = 0
-32 + -2x = -24 + 0
-32 + -2x = -24

Add '32' to each side of the equation.
-32 + 32 + -2x = -24 + 32

Combine like terms: -32 + 32 = 0
0 + -2x = -24 + 32
-2x = -24 + 32

Combine like terms: -24 + 32 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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