2(6x+1)-3(x-4)=x+34

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Solution for 2(6x+1)-3(x-4)=x+34 equation: 


Simplifying
2(6x + 1) + -3(x + -4) = x + 34

Reorder the terms:
2(1 + 6x) + -3(x + -4) = x + 34
(1 * 2 + 6x * 2) + -3(x + -4) = x + 34
(2 + 12x) + -3(x + -4) = x + 34

Reorder the terms:
2 + 12x + -3(-4 + x) = x + 34
2 + 12x + (-4 * -3 + x * -3) = x + 34
2 + 12x + (12 + -3x) = x + 34

Reorder the terms:
2 + 12 + 12x + -3x = x + 34

Combine like terms: 2 + 12 = 14
14 + 12x + -3x = x + 34

Combine like terms: 12x + -3x = 9x
14 + 9x = x + 34

Reorder the terms:
14 + 9x = 34 + x

Solving
14 + 9x = 34 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
14 + 9x + -1x = 34 + x + -1x

Combine like terms: 9x + -1x = 8x
14 + 8x = 34 + x + -1x

Combine like terms: x + -1x = 0
14 + 8x = 34 + 0
14 + 8x = 34

Add '-14' to each side of the equation.
14 + -14 + 8x = 34 + -14

Combine like terms: 14 + -14 = 0
0 + 8x = 34 + -14
8x = 34 + -14

Combine like terms: 34 + -14 = 20
8x = 20

Divide each side by '8'.
x = 2.5

Simplifying
x = 2.5

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