3(x-2)-5(1-2x)=15

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Solution for 3(x-2)-5(1-2x)=15 equation: 


Simplifying
3(x + -2) + -5(1 + -2x) = 15

Reorder the terms:
3(-2 + x) + -5(1 + -2x) = 15
(-2 * 3 + x * 3) + -5(1 + -2x) = 15
(-6 + 3x) + -5(1 + -2x) = 15
-6 + 3x + (1 * -5 + -2x * -5) = 15
-6 + 3x + (-5 + 10x) = 15

Reorder the terms:
-6 + -5 + 3x + 10x = 15

Combine like terms: -6 + -5 = -11
-11 + 3x + 10x = 15

Combine like terms: 3x + 10x = 13x
-11 + 13x = 15

Solving
-11 + 13x = 15

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 13x = 15 + 11

Combine like terms: -11 + 11 = 0
0 + 13x = 15 + 11
13x = 15 + 11

Combine like terms: 15 + 11 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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