x-3[x-5]=x+5[x+1]

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Solution for x-3[x-5]=x+5[x+1] equation:


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

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

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

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

Reorder the terms:
15 + -2x = x + 5[1 + x]
15 + -2x = x + [1 * 5 + x * 5]
15 + -2x = x + [5 + 5x]

Reorder the terms:
15 + -2x = 5 + x + 5x

Combine like terms: x + 5x = 6x
15 + -2x = 5 + 6x

Solving
15 + -2x = 5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + -2x + -6x = 5 + 6x + -6x

Combine like terms: -2x + -6x = -8x
15 + -8x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -8x = 5 + 0
15 + -8x = 5

Add '-15' to each side of the equation.
15 + -15 + -8x = 5 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = 5 + -15
-8x = 5 + -15

Combine like terms: 5 + -15 = -10
-8x = -10

Divide each side by '-8'.
x = 1.25

Simplifying
x = 1.25

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