3(2x+3)+4(2x-3)=25

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Solution for 3(2x+3)+4(2x-3)=25 equation:


Simplifying
3(2x + 3) + 4(2x + -3) = 25

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

Reorder the terms:
9 + 6x + 4(-3 + 2x) = 25
9 + 6x + (-3 * 4 + 2x * 4) = 25
9 + 6x + (-12 + 8x) = 25

Reorder the terms:
9 + -12 + 6x + 8x = 25

Combine like terms: 9 + -12 = -3
-3 + 6x + 8x = 25

Combine like terms: 6x + 8x = 14x
-3 + 14x = 25

Solving
-3 + 14x = 25

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 14x = 25 + 3

Combine like terms: -3 + 3 = 0
0 + 14x = 25 + 3
14x = 25 + 3

Combine like terms: 25 + 3 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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