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

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


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

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

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

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

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

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

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

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

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

Reorder the terms:
-17 + 1x = 20 + 2x

Solving
-17 + 1x = 20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-17 + 1x + -2x = 20 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-17 + -1x = 20 + 0
-17 + -1x = 20

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

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

Combine like terms: 20 + 17 = 37
-1x = 37

Divide each side by '-1'.
x = -37

Simplifying
x = -37

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