5+3[1+2(2x-3)]=6(x+5)

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Solution for 5+3[1+2(2x-3)]=6(x+5) equation:


Simplifying
5 + 3[1 + 2(2x + -3)] = 6(x + 5)

Reorder the terms:
5 + 3[1 + 2(-3 + 2x)] = 6(x + 5)
5 + 3[1 + (-3 * 2 + 2x * 2)] = 6(x + 5)
5 + 3[1 + (-6 + 4x)] = 6(x + 5)

Combine like terms: 1 + -6 = -5
5 + 3[-5 + 4x] = 6(x + 5)
5 + [-5 * 3 + 4x * 3] = 6(x + 5)
5 + [-15 + 12x] = 6(x + 5)

Combine like terms: 5 + -15 = -10
-10 + 12x = 6(x + 5)

Reorder the terms:
-10 + 12x = 6(5 + x)
-10 + 12x = (5 * 6 + x * 6)
-10 + 12x = (30 + 6x)

Solving
-10 + 12x = 30 + 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.
-10 + 12x + -6x = 30 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-10 + 6x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + 6x = 30 + 0
-10 + 6x = 30

Add '10' to each side of the equation.
-10 + 10 + 6x = 30 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 30 + 10
6x = 30 + 10

Combine like terms: 30 + 10 = 40
6x = 40

Divide each side by '6'.
x = 6.666666667

Simplifying
x = 6.666666667

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