5(5x+3)=-2(2-10x)-1

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Solution for 5(5x+3)=-2(2-10x)-1 equation: 


Simplifying
5(5x + 3) = -2(2 + -10x) + -1

Reorder the terms:
5(3 + 5x) = -2(2 + -10x) + -1
(3 * 5 + 5x * 5) = -2(2 + -10x) + -1
(15 + 25x) = -2(2 + -10x) + -1
15 + 25x = (2 * -2 + -10x * -2) + -1
15 + 25x = (-4 + 20x) + -1

Reorder the terms:
15 + 25x = -4 + -1 + 20x

Combine like terms: -4 + -1 = -5
15 + 25x = -5 + 20x

Solving
15 + 25x = -5 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
15 + 25x + -20x = -5 + 20x + -20x

Combine like terms: 25x + -20x = 5x
15 + 5x = -5 + 20x + -20x

Combine like terms: 20x + -20x = 0
15 + 5x = -5 + 0
15 + 5x = -5

Add '-15' to each side of the equation.
15 + -15 + 5x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = -5 + -15
5x = -5 + -15

Combine like terms: -5 + -15 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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