3(x+8)-10=25-2(x-3)

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Solution for 3(x+8)-10=25-2(x-3) equation:


Simplifying
3(x + 8) + -10 = 25 + -2(x + -3)

Reorder the terms:
3(8 + x) + -10 = 25 + -2(x + -3)
(8 * 3 + x * 3) + -10 = 25 + -2(x + -3)
(24 + 3x) + -10 = 25 + -2(x + -3)

Reorder the terms:
24 + -10 + 3x = 25 + -2(x + -3)

Combine like terms: 24 + -10 = 14
14 + 3x = 25 + -2(x + -3)

Reorder the terms:
14 + 3x = 25 + -2(-3 + x)
14 + 3x = 25 + (-3 * -2 + x * -2)
14 + 3x = 25 + (6 + -2x)

Combine like terms: 25 + 6 = 31
14 + 3x = 31 + -2x

Solving
14 + 3x = 31 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
14 + 3x + 2x = 31 + -2x + 2x

Combine like terms: 3x + 2x = 5x
14 + 5x = 31 + -2x + 2x

Combine like terms: -2x + 2x = 0
14 + 5x = 31 + 0
14 + 5x = 31

Add '-14' to each side of the equation.
14 + -14 + 5x = 31 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = 31 + -14
5x = 31 + -14

Combine like terms: 31 + -14 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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