2x=3(4x-2)+7(2x-1)+1

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Solution for 2x=3(4x-2)+7(2x-1)+1 equation:


Simplifying
2x = 3(4x + -2) + 7(2x + -1) + 1

Reorder the terms:
2x = 3(-2 + 4x) + 7(2x + -1) + 1
2x = (-2 * 3 + 4x * 3) + 7(2x + -1) + 1
2x = (-6 + 12x) + 7(2x + -1) + 1

Reorder the terms:
2x = -6 + 12x + 7(-1 + 2x) + 1
2x = -6 + 12x + (-1 * 7 + 2x * 7) + 1
2x = -6 + 12x + (-7 + 14x) + 1

Reorder the terms:
2x = -6 + -7 + 1 + 12x + 14x

Combine like terms: -6 + -7 = -13
2x = -13 + 1 + 12x + 14x

Combine like terms: -13 + 1 = -12
2x = -12 + 12x + 14x

Combine like terms: 12x + 14x = 26x
2x = -12 + 26x

Solving
2x = -12 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
2x + -26x = -12 + 26x + -26x

Combine like terms: 2x + -26x = -24x
-24x = -12 + 26x + -26x

Combine like terms: 26x + -26x = 0
-24x = -12 + 0
-24x = -12

Divide each side by '-24'.
x = 0.5

Simplifying
x = 0.5

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