5(x+3)=-3(7x+3)-2

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Solution for 5(x+3)=-3(7x+3)-2 equation:


Simplifying
5(x + 3) = -3(7x + 3) + -2

Reorder the terms:
5(3 + x) = -3(7x + 3) + -2
(3 * 5 + x * 5) = -3(7x + 3) + -2
(15 + 5x) = -3(7x + 3) + -2

Reorder the terms:
15 + 5x = -3(3 + 7x) + -2
15 + 5x = (3 * -3 + 7x * -3) + -2
15 + 5x = (-9 + -21x) + -2

Reorder the terms:
15 + 5x = -9 + -2 + -21x

Combine like terms: -9 + -2 = -11
15 + 5x = -11 + -21x

Solving
15 + 5x = -11 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
15 + 5x + 21x = -11 + -21x + 21x

Combine like terms: 5x + 21x = 26x
15 + 26x = -11 + -21x + 21x

Combine like terms: -21x + 21x = 0
15 + 26x = -11 + 0
15 + 26x = -11

Add '-15' to each side of the equation.
15 + -15 + 26x = -11 + -15

Combine like terms: 15 + -15 = 0
0 + 26x = -11 + -15
26x = -11 + -15

Combine like terms: -11 + -15 = -26
26x = -26

Divide each side by '26'.
x = -1

Simplifying
x = -1

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