2(6-4x)+1=2(x+4)-5x

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Solution for 2(6-4x)+1=2(x+4)-5x equation:


Simplifying
2(6 + -4x) + 1 = 2(x + 4) + -5x
(6 * 2 + -4x * 2) + 1 = 2(x + 4) + -5x
(12 + -8x) + 1 = 2(x + 4) + -5x

Reorder the terms:
12 + 1 + -8x = 2(x + 4) + -5x

Combine like terms: 12 + 1 = 13
13 + -8x = 2(x + 4) + -5x

Reorder the terms:
13 + -8x = 2(4 + x) + -5x
13 + -8x = (4 * 2 + x * 2) + -5x
13 + -8x = (8 + 2x) + -5x

Combine like terms: 2x + -5x = -3x
13 + -8x = 8 + -3x

Solving
13 + -8x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
13 + -8x + 3x = 8 + -3x + 3x

Combine like terms: -8x + 3x = -5x
13 + -5x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
13 + -5x = 8 + 0
13 + -5x = 8

Add '-13' to each side of the equation.
13 + -13 + -5x = 8 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = 8 + -13
-5x = 8 + -13

Combine like terms: 8 + -13 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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