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

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


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

Reorder the terms:
3(3 + 2x) + 2(3x + -2) = 8x + 25
(3 * 3 + 2x * 3) + 2(3x + -2) = 8x + 25
(9 + 6x) + 2(3x + -2) = 8x + 25

Reorder the terms:
9 + 6x + 2(-2 + 3x) = 8x + 25
9 + 6x + (-2 * 2 + 3x * 2) = 8x + 25
9 + 6x + (-4 + 6x) = 8x + 25

Reorder the terms:
9 + -4 + 6x + 6x = 8x + 25

Combine like terms: 9 + -4 = 5
5 + 6x + 6x = 8x + 25

Combine like terms: 6x + 6x = 12x
5 + 12x = 8x + 25

Reorder the terms:
5 + 12x = 25 + 8x

Solving
5 + 12x = 25 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
5 + 12x + -8x = 25 + 8x + -8x

Combine like terms: 12x + -8x = 4x
5 + 4x = 25 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + 4x = 25 + 0
5 + 4x = 25

Add '-5' to each side of the equation.
5 + -5 + 4x = 25 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 25 + -5
4x = 25 + -5

Combine like terms: 25 + -5 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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