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

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


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

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

Reorder the terms:
2 + -12 + 4x + 3x = 1

Combine like terms: 2 + -12 = -10
-10 + 4x + 3x = 1

Combine like terms: 4x + 3x = 7x
-10 + 7x = 1

Solving
-10 + 7x = 1

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 7x = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 1 + 10
7x = 1 + 10

Combine like terms: 1 + 10 = 11
7x = 11

Divide each side by '7'.
x = 1.571428571

Simplifying
x = 1.571428571

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