3(2x-3)-2(2x-8)=5

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Solution for 3(2x-3)-2(2x-8)=5 equation: 


Simplifying
3(2x + -3) + -2(2x + -8) = 5

Reorder the terms:
3(-3 + 2x) + -2(2x + -8) = 5
(-3 * 3 + 2x * 3) + -2(2x + -8) = 5
(-9 + 6x) + -2(2x + -8) = 5

Reorder the terms:
-9 + 6x + -2(-8 + 2x) = 5
-9 + 6x + (-8 * -2 + 2x * -2) = 5
-9 + 6x + (16 + -4x) = 5

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

Combine like terms: -9 + 16 = 7
7 + 6x + -4x = 5

Combine like terms: 6x + -4x = 2x
7 + 2x = 5

Solving
7 + 2x = 5

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 5 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 5 + -7
2x = 5 + -7

Combine like terms: 5 + -7 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

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