5(3+x)=(x-3)-4x

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Solution for 5(3+x)=(x-3)-4x equation:


Simplifying
5(3 + x) = (x + -3) + -4x
(3 * 5 + x * 5) = (x + -3) + -4x
(15 + 5x) = (x + -3) + -4x

Reorder the terms:
15 + 5x = (-3 + x) + -4x

Remove parenthesis around (-3 + x)
15 + 5x = -3 + x + -4x

Combine like terms: x + -4x = -3x
15 + 5x = -3 + -3x

Solving
15 + 5x = -3 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
15 + 5x + 3x = -3 + -3x + 3x

Combine like terms: 5x + 3x = 8x
15 + 8x = -3 + -3x + 3x

Combine like terms: -3x + 3x = 0
15 + 8x = -3 + 0
15 + 8x = -3

Add '-15' to each side of the equation.
15 + -15 + 8x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = -3 + -15
8x = -3 + -15

Combine like terms: -3 + -15 = -18
8x = -18

Divide each side by '8'.
x = -2.25

Simplifying
x = -2.25

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