3(2x+1)-4(3x-5)=25

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Solution for 3(2x+1)-4(3x-5)=25 equation:


Simplifying
3(2x + 1) + -4(3x + -5) = 25

Reorder the terms:
3(1 + 2x) + -4(3x + -5) = 25
(1 * 3 + 2x * 3) + -4(3x + -5) = 25
(3 + 6x) + -4(3x + -5) = 25

Reorder the terms:
3 + 6x + -4(-5 + 3x) = 25
3 + 6x + (-5 * -4 + 3x * -4) = 25
3 + 6x + (20 + -12x) = 25

Reorder the terms:
3 + 20 + 6x + -12x = 25

Combine like terms: 3 + 20 = 23
23 + 6x + -12x = 25

Combine like terms: 6x + -12x = -6x
23 + -6x = 25

Solving
23 + -6x = 25

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + -6x = 25 + -23

Combine like terms: 23 + -23 = 0
0 + -6x = 25 + -23
-6x = 25 + -23

Combine like terms: 25 + -23 = 2
-6x = 2

Divide each side by '-6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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