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

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


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

Combine like terms: -2x + 7x = 5x
1 + 5x = 3(2x + 1)

Reorder the terms:
1 + 5x = 3(1 + 2x)
1 + 5x = (1 * 3 + 2x * 3)
1 + 5x = (3 + 6x)

Solving
1 + 5x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 5x + -6x = 3 + 6x + -6x

Combine like terms: 5x + -6x = -1x
1 + -1x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -1x = 3 + 0
1 + -1x = 3

Add '-1' to each side of the equation.
1 + -1 + -1x = 3 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 3 + -1
-1x = 3 + -1

Combine like terms: 3 + -1 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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