3(2x-9)-2(4x-5)=-25

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Solution for 3(2x-9)-2(4x-5)=-25 equation: 


Simplifying
3(2x + -9) + -2(4x + -5) = -25

Reorder the terms:
3(-9 + 2x) + -2(4x + -5) = -25
(-9 * 3 + 2x * 3) + -2(4x + -5) = -25
(-27 + 6x) + -2(4x + -5) = -25

Reorder the terms:
-27 + 6x + -2(-5 + 4x) = -25
-27 + 6x + (-5 * -2 + 4x * -2) = -25
-27 + 6x + (10 + -8x) = -25

Reorder the terms:
-27 + 10 + 6x + -8x = -25

Combine like terms: -27 + 10 = -17
-17 + 6x + -8x = -25

Combine like terms: 6x + -8x = -2x
-17 + -2x = -25

Solving
-17 + -2x = -25

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + -2x = -25 + 17

Combine like terms: -17 + 17 = 0
0 + -2x = -25 + 17
-2x = -25 + 17

Combine like terms: -25 + 17 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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