8x+1=5(x-4)

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Solution for 8x+1=5(x-4) equation:


Simplifying
8x + 1 = 5(x + -4)

Reorder the terms:
1 + 8x = 5(x + -4)

Reorder the terms:
1 + 8x = 5(-4 + x)
1 + 8x = (-4 * 5 + x * 5)
1 + 8x = (-20 + 5x)

Solving
1 + 8x = -20 + 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.
1 + 8x + -5x = -20 + 5x + -5x

Combine like terms: 8x + -5x = 3x
1 + 3x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + 3x = -20 + 0
1 + 3x = -20

Add '-1' to each side of the equation.
1 + -1 + 3x = -20 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = -20 + -1
3x = -20 + -1

Combine like terms: -20 + -1 = -21
3x = -21

Divide each side by '3'.
x = -7

Simplifying
x = -7

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