3(x-1)+2*(x+4)=20

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Solution for 3(x-1)+2*(x+4)=20 equation:


Simplifying
3(x + -1) + 2(x + 4) = 20

Reorder the terms:
3(-1 + x) + 2(x + 4) = 20
(-1 * 3 + x * 3) + 2(x + 4) = 20
(-3 + 3x) + 2(x + 4) = 20

Reorder the terms:
-3 + 3x + 2(4 + x) = 20
-3 + 3x + (4 * 2 + x * 2) = 20
-3 + 3x + (8 + 2x) = 20

Reorder the terms:
-3 + 8 + 3x + 2x = 20

Combine like terms: -3 + 8 = 5
5 + 3x + 2x = 20

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

Solving
5 + 5x = 20

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 5x = 20 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 20 + -5
5x = 20 + -5

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

Divide each side by '5'.
x = 3

Simplifying
x = 3

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