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

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


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

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

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

Combine like terms: -9 + -4 = -13
15 + 5x = -13 + 3x

Solving
15 + 5x = -13 + 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 = -13 + 3x + -3x

Combine like terms: 5x + -3x = 2x
15 + 2x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + 2x = -13 + 0
15 + 2x = -13

Add '-15' to each side of the equation.
15 + -15 + 2x = -13 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = -13 + -15
2x = -13 + -15

Combine like terms: -13 + -15 = -28
2x = -28

Divide each side by '2'.
x = -14

Simplifying
x = -14

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