3(x+7)-2(2+8)=25-3(x+2)

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Solution for 3(x+7)-2(2+8)=25-3(x+2) equation:


Simplifying
3(x + 7) + -2(2 + 8) = 25 + -3(x + 2)

Reorder the terms:
3(7 + x) + -2(2 + 8) = 25 + -3(x + 2)
(7 * 3 + x * 3) + -2(2 + 8) = 25 + -3(x + 2)
(21 + 3x) + -2(2 + 8) = 25 + -3(x + 2)

Combine like terms: 2 + 8 = 10
21 + 3x + -2(10) = 25 + -3(x + 2)

Multiply -2 * 10
21 + 3x + -20 = 25 + -3(x + 2)

Reorder the terms:
21 + -20 + 3x = 25 + -3(x + 2)

Combine like terms: 21 + -20 = 1
1 + 3x = 25 + -3(x + 2)

Reorder the terms:
1 + 3x = 25 + -3(2 + x)
1 + 3x = 25 + (2 * -3 + x * -3)
1 + 3x = 25 + (-6 + -3x)

Combine like terms: 25 + -6 = 19
1 + 3x = 19 + -3x

Solving
1 + 3x = 19 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
1 + 3x + 3x = 19 + -3x + 3x

Combine like terms: 3x + 3x = 6x
1 + 6x = 19 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 6x = 19 + 0
1 + 6x = 19

Add '-1' to each side of the equation.
1 + -1 + 6x = 19 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 19 + -1
6x = 19 + -1

Combine like terms: 19 + -1 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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