10(3x+2)+10=15[2(x+1)-(x-1)]-5

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Solution for 10(3x+2)+10=15[2(x+1)-(x-1)]-5 equation: 


Simplifying
10(3x + 2) + 10 = 15[2(x + 1) + -1(x + -1)] + -5

Reorder the terms:
10(2 + 3x) + 10 = 15[2(x + 1) + -1(x + -1)] + -5
(2 * 10 + 3x * 10) + 10 = 15[2(x + 1) + -1(x + -1)] + -5
(20 + 30x) + 10 = 15[2(x + 1) + -1(x + -1)] + -5

Reorder the terms:
20 + 10 + 30x = 15[2(x + 1) + -1(x + -1)] + -5

Combine like terms: 20 + 10 = 30
30 + 30x = 15[2(x + 1) + -1(x + -1)] + -5

Reorder the terms:
30 + 30x = 15[2(1 + x) + -1(x + -1)] + -5
30 + 30x = 15[(1 * 2 + x * 2) + -1(x + -1)] + -5
30 + 30x = 15[(2 + 2x) + -1(x + -1)] + -5

Reorder the terms:
30 + 30x = 15[2 + 2x + -1(-1 + x)] + -5
30 + 30x = 15[2 + 2x + (-1 * -1 + x * -1)] + -5
30 + 30x = 15[2 + 2x + (1 + -1x)] + -5

Reorder the terms:
30 + 30x = 15[2 + 1 + 2x + -1x] + -5

Combine like terms: 2 + 1 = 3
30 + 30x = 15[3 + 2x + -1x] + -5

Combine like terms: 2x + -1x = 1x
30 + 30x = 15[3 + 1x] + -5
30 + 30x = [3 * 15 + 1x * 15] + -5
30 + 30x = [45 + 15x] + -5

Reorder the terms:
30 + 30x = 45 + -5 + 15x

Combine like terms: 45 + -5 = 40
30 + 30x = 40 + 15x

Solving
30 + 30x = 40 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
30 + 30x + -15x = 40 + 15x + -15x

Combine like terms: 30x + -15x = 15x
30 + 15x = 40 + 15x + -15x

Combine like terms: 15x + -15x = 0
30 + 15x = 40 + 0
30 + 15x = 40

Add '-30' to each side of the equation.
30 + -30 + 15x = 40 + -30

Combine like terms: 30 + -30 = 0
0 + 15x = 40 + -30
15x = 40 + -30

Combine like terms: 40 + -30 = 10
15x = 10

Divide each side by '15'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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