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

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


Simplifying
5(3 + -1x) = 3(x + 4)
(3 * 5 + -1x * 5) = 3(x + 4)
(15 + -5x) = 3(x + 4)

Reorder the terms:
15 + -5x = 3(4 + x)
15 + -5x = (4 * 3 + x * 3)
15 + -5x = (12 + 3x)

Solving
15 + -5x = 12 + 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 = 12 + 3x + -3x

Combine like terms: -5x + -3x = -8x
15 + -8x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -8x = 12 + 0
15 + -8x = 12

Add '-15' to each side of the equation.
15 + -15 + -8x = 12 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = 12 + -15
-8x = 12 + -15

Combine like terms: 12 + -15 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375

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