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

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


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

Reorder the terms:
2(1 + 6x) = 4(5 + -1x) + -2
(1 * 2 + 6x * 2) = 4(5 + -1x) + -2
(2 + 12x) = 4(5 + -1x) + -2
2 + 12x = (5 * 4 + -1x * 4) + -2
2 + 12x = (20 + -4x) + -2

Reorder the terms:
2 + 12x = 20 + -2 + -4x

Combine like terms: 20 + -2 = 18
2 + 12x = 18 + -4x

Solving
2 + 12x = 18 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2 + 12x + 4x = 18 + -4x + 4x

Combine like terms: 12x + 4x = 16x
2 + 16x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 16x = 18 + 0
2 + 16x = 18

Add '-2' to each side of the equation.
2 + -2 + 16x = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 16x = 18 + -2
16x = 18 + -2

Combine like terms: 18 + -2 = 16
16x = 16

Divide each side by '16'.
x = 1

Simplifying
x = 1

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