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

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


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

Reorder the terms:
15 + 5x = 3(-3 + x) + -4x
15 + 5x = (-3 * 3 + x * 3) + -4x
15 + 5x = (-9 + 3x) + -4x

Combine like terms: 3x + -4x = -1x
15 + 5x = -9 + -1x

Solving
15 + 5x = -9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
15 + 5x + x = -9 + -1x + x

Combine like terms: 5x + x = 6x
15 + 6x = -9 + -1x + x

Combine like terms: -1x + x = 0
15 + 6x = -9 + 0
15 + 6x = -9

Add '-15' to each side of the equation.
15 + -15 + 6x = -9 + -15

Combine like terms: 15 + -15 = 0
0 + 6x = -9 + -15
6x = -9 + -15

Combine like terms: -9 + -15 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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