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

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


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

Reorder the terms:
3(-5 + x) + -2(2 + -1x) = 1
(-5 * 3 + x * 3) + -2(2 + -1x) = 1
(-15 + 3x) + -2(2 + -1x) = 1
-15 + 3x + (2 * -2 + -1x * -2) = 1
-15 + 3x + (-4 + 2x) = 1

Reorder the terms:
-15 + -4 + 3x + 2x = 1

Combine like terms: -15 + -4 = -19
-19 + 3x + 2x = 1

Combine like terms: 3x + 2x = 5x
-19 + 5x = 1

Solving
-19 + 5x = 1

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 5x = 1 + 19

Combine like terms: -19 + 19 = 0
0 + 5x = 1 + 19
5x = 1 + 19

Combine like terms: 1 + 19 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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