2(x+6)+3(2x+1)=3(x+15)+3(x+10)

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Solution for 2(x+6)+3(2x+1)=3(x+15)+3(x+10) equation: 


Simplifying
2(x + 6) + 3(2x + 1) = 3(x + 15) + 3(x + 10)

Reorder the terms:
2(6 + x) + 3(2x + 1) = 3(x + 15) + 3(x + 10)
(6 * 2 + x * 2) + 3(2x + 1) = 3(x + 15) + 3(x + 10)
(12 + 2x) + 3(2x + 1) = 3(x + 15) + 3(x + 10)

Reorder the terms:
12 + 2x + 3(1 + 2x) = 3(x + 15) + 3(x + 10)
12 + 2x + (1 * 3 + 2x * 3) = 3(x + 15) + 3(x + 10)
12 + 2x + (3 + 6x) = 3(x + 15) + 3(x + 10)

Reorder the terms:
12 + 3 + 2x + 6x = 3(x + 15) + 3(x + 10)

Combine like terms: 12 + 3 = 15
15 + 2x + 6x = 3(x + 15) + 3(x + 10)

Combine like terms: 2x + 6x = 8x
15 + 8x = 3(x + 15) + 3(x + 10)

Reorder the terms:
15 + 8x = 3(15 + x) + 3(x + 10)
15 + 8x = (15 * 3 + x * 3) + 3(x + 10)
15 + 8x = (45 + 3x) + 3(x + 10)

Reorder the terms:
15 + 8x = 45 + 3x + 3(10 + x)
15 + 8x = 45 + 3x + (10 * 3 + x * 3)
15 + 8x = 45 + 3x + (30 + 3x)

Reorder the terms:
15 + 8x = 45 + 30 + 3x + 3x

Combine like terms: 45 + 30 = 75
15 + 8x = 75 + 3x + 3x

Combine like terms: 3x + 3x = 6x
15 + 8x = 75 + 6x

Solving
15 + 8x = 75 + 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 + 8x + -6x = 75 + 6x + -6x

Combine like terms: 8x + -6x = 2x
15 + 2x = 75 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + 2x = 75 + 0
15 + 2x = 75

Add '-15' to each side of the equation.
15 + -15 + 2x = 75 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 75 + -15
2x = 75 + -15

Combine like terms: 75 + -15 = 60
2x = 60

Divide each side by '2'.
x = 30

Simplifying
x = 30

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