3(x+5)=5[x-(3-x)]

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


Simplifying
3(x + 5) = 5[x + -1(3 + -1x)]

Reorder the terms:
3(5 + x) = 5[x + -1(3 + -1x)]
(5 * 3 + x * 3) = 5[x + -1(3 + -1x)]
(15 + 3x) = 5[x + -1(3 + -1x)]
15 + 3x = 5[x + (3 * -1 + -1x * -1)]
15 + 3x = 5[x + (-3 + 1x)]

Reorder the terms:
15 + 3x = 5[-3 + x + 1x]

Combine like terms: x + 1x = 2x
15 + 3x = 5[-3 + 2x]
15 + 3x = [-3 * 5 + 2x * 5]
15 + 3x = [-15 + 10x]

Solving
15 + 3x = -15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
15 + 3x + -10x = -15 + 10x + -10x

Combine like terms: 3x + -10x = -7x
15 + -7x = -15 + 10x + -10x

Combine like terms: 10x + -10x = 0
15 + -7x = -15 + 0
15 + -7x = -15

Add '-15' to each side of the equation.
15 + -15 + -7x = -15 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -15 + -15
-7x = -15 + -15

Combine like terms: -15 + -15 = -30
-7x = -30

Divide each side by '-7'.
x = 4.285714286

Simplifying
x = 4.285714286

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