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

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


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

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

Reorder the terms:
-3 + 1 + 6x = 7x + -7

Combine like terms: -3 + 1 = -2
-2 + 6x = 7x + -7

Reorder the terms:
-2 + 6x = -7 + 7x

Solving
-2 + 6x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-2 + 6x + -7x = -7 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-2 + -1x = -7 + 0
-2 + -1x = -7

Add '2' to each side of the equation.
-2 + 2 + -1x = -7 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -7 + 2
-1x = -7 + 2

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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