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

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


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

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

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

Reorder the terms:
-6 + 20 + 2x + -4x = 2x + 1

Combine like terms: -6 + 20 = 14
14 + 2x + -4x = 2x + 1

Combine like terms: 2x + -4x = -2x
14 + -2x = 2x + 1

Reorder the terms:
14 + -2x = 1 + 2x

Solving
14 + -2x = 1 + 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.
14 + -2x + -2x = 1 + 2x + -2x

Combine like terms: -2x + -2x = -4x
14 + -4x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + -4x = 1 + 0
14 + -4x = 1

Add '-14' to each side of the equation.
14 + -14 + -4x = 1 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = 1 + -14
-4x = 1 + -14

Combine like terms: 1 + -14 = -13
-4x = -13

Divide each side by '-4'.
x = 3.25

Simplifying
x = 3.25

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