2(x-3)-4(x-1)+3(x-5)=x+20

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Solution for 2(x-3)-4(x-1)+3(x-5)=x+20 equation: 


Simplifying
2(x + -3) + -4(x + -1) + 3(x + -5) = x + 20

Reorder the terms:
2(-3 + x) + -4(x + -1) + 3(x + -5) = x + 20
(-3 * 2 + x * 2) + -4(x + -1) + 3(x + -5) = x + 20
(-6 + 2x) + -4(x + -1) + 3(x + -5) = x + 20

Reorder the terms:
-6 + 2x + -4(-1 + x) + 3(x + -5) = x + 20
-6 + 2x + (-1 * -4 + x * -4) + 3(x + -5) = x + 20
-6 + 2x + (4 + -4x) + 3(x + -5) = x + 20

Reorder the terms:
-6 + 2x + 4 + -4x + 3(-5 + x) = x + 20
-6 + 2x + 4 + -4x + (-5 * 3 + x * 3) = x + 20
-6 + 2x + 4 + -4x + (-15 + 3x) = x + 20

Reorder the terms:
-6 + 4 + -15 + 2x + -4x + 3x = x + 20

Combine like terms: -6 + 4 = -2
-2 + -15 + 2x + -4x + 3x = x + 20

Combine like terms: -2 + -15 = -17
-17 + 2x + -4x + 3x = x + 20

Combine like terms: 2x + -4x = -2x
-17 + -2x + 3x = x + 20

Combine like terms: -2x + 3x = 1x
-17 + 1x = x + 20

Reorder the terms:
-17 + 1x = 20 + x

Solving
-17 + 1x = 20 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-17 + 1x + -1x = 20 + x + -1x

Combine like terms: 1x + -1x = 0
-17 + 0 = 20 + x + -1x
-17 = 20 + x + -1x

Combine like terms: x + -1x = 0
-17 = 20 + 0
-17 = 20

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

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

Combine like terms: 20 + 17 = 37
0 = 37

Simplifying
0 = 37

Combine like terms: 0 + -37 = -37
-37 = 37 + -37

Combine like terms: 37 + -37 = 0
-37 = 0

The solution to this equation could not be determined.

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