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 = 17
17 + 5x + -2x = 20

Combine like terms: 5x + -2x = 3x
17 + 3x = 20

Solving
17 + 3x = 20

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 3x = 20 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 20 + -17
3x = 20 + -17

Combine like terms: 20 + -17 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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