3(2x-3)-(4x-5)=16

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Solution for 3(2x-3)-(4x-5)=16 equation:


Simplifying
3(2x + -3) + -1(4x + -5) = 16

Reorder the terms:
3(-3 + 2x) + -1(4x + -5) = 16
(-3 * 3 + 2x * 3) + -1(4x + -5) = 16
(-9 + 6x) + -1(4x + -5) = 16

Reorder the terms:
-9 + 6x + -1(-5 + 4x) = 16
-9 + 6x + (-5 * -1 + 4x * -1) = 16
-9 + 6x + (5 + -4x) = 16

Reorder the terms:
-9 + 5 + 6x + -4x = 16

Combine like terms: -9 + 5 = -4
-4 + 6x + -4x = 16

Combine like terms: 6x + -4x = 2x
-4 + 2x = 16

Solving
-4 + 2x = 16

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 2x = 16 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 16 + 4
2x = 16 + 4

Combine like terms: 16 + 4 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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