4(2x+5)=5x-1

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Solution for 4(2x+5)=5x-1 equation:


Simplifying
4(2x + 5) = 5x + -1

Reorder the terms:
4(5 + 2x) = 5x + -1
(5 * 4 + 2x * 4) = 5x + -1
(20 + 8x) = 5x + -1

Reorder the terms:
20 + 8x = -1 + 5x

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

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

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

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

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

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

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

Simplifying
x = -7

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