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

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


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

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

Reorder the terms:
-7 + 7x = 2(4 + 3x) + -1
-7 + 7x = (4 * 2 + 3x * 2) + -1
-7 + 7x = (8 + 6x) + -1

Reorder the terms:
-7 + 7x = 8 + -1 + 6x

Combine like terms: 8 + -1 = 7
-7 + 7x = 7 + 6x

Solving
-7 + 7x = 7 + 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.
-7 + 7x + -6x = 7 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-7 + 1x = 7 + 0
-7 + 1x = 7

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

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

Combine like terms: 7 + 7 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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