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 = -11
-11 + 3x + 2x = 20

Combine like terms: 3x + 2x = 5x
-11 + 5x = 20

Solving
-11 + 5x = 20

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 + 5x = 20 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 20 + 11
5x = 20 + 11

Combine like terms: 20 + 11 = 31
5x = 31

Divide each side by '5'.
x = 6.2

Simplifying
x = 6.2

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