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

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


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

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

Reorder the terms:
-6 + 2x + -4(-1 + x) + 3(5 + -1x) = 2x + 20
-6 + 2x + (-1 * -4 + x * -4) + 3(5 + -1x) = 2x + 20
-6 + 2x + (4 + -4x) + 3(5 + -1x) = 2x + 20
-6 + 2x + 4 + -4x + (5 * 3 + -1x * 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 = 13
13 + 2x + -4x + -3x = 2x + 20

Combine like terms: 2x + -4x = -2x
13 + -2x + -3x = 2x + 20

Combine like terms: -2x + -3x = -5x
13 + -5x = 2x + 20

Reorder the terms:
13 + -5x = 20 + 2x

Solving
13 + -5x = 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.
13 + -5x + -2x = 20 + 2x + -2x

Combine like terms: -5x + -2x = -7x
13 + -7x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -7x = 20 + 0
13 + -7x = 20

Add '-13' to each side of the equation.
13 + -13 + -7x = 20 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = 20 + -13
-7x = 20 + -13

Combine like terms: 20 + -13 = 7
-7x = 7

Divide each side by '-7'.
x = -1

Simplifying
x = -1

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