5(x-3)-2(x-1)=20

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Solution for 5(x-3)-2(x-1)=20 equation: 


Simplifying
5(x + -3) + -2(x + -1) = 20

Reorder the terms:
5(-3 + x) + -2(x + -1) = 20
(-3 * 5 + x * 5) + -2(x + -1) = 20
(-15 + 5x) + -2(x + -1) = 20

Reorder the terms:
-15 + 5x + -2(-1 + x) = 20
-15 + 5x + (-1 * -2 + x * -2) = 20
-15 + 5x + (2 + -2x) = 20

Reorder the terms:
-15 + 2 + 5x + -2x = 20

Combine like terms: -15 + 2 = -13
-13 + 5x + -2x = 20

Combine like terms: 5x + -2x = 3x
-13 + 3x = 20

Solving
-13 + 3x = 20

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 3x = 20 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 20 + 13
3x = 20 + 13

Combine like terms: 20 + 13 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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